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Manifold Mirrors
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Download or read book Manifold Mirrors written by Felipe Cucker and published by Cambridge University Press. This book was released on 2013-04-25 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating book will interest anyone wanting to learn more about the relationship between mathematics and the arts.
Download or read book Manifold Mirrors written by Felipe Cucker and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Manifold Mirrors written by Felipe Cucker and published by . This book was released on 2014-05-14 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating book will interest anyone wanting to learn more about the relationship between mathematics and the arts.
Book Synopsis Tropical Geometry and Mirror Symmetry by : Mark Gross
Download or read book Tropical Geometry and Mirror Symmetry written by Mark Gross and published by American Mathematical Soc.. This book was released on 2011-01-20 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tropical geometry provides an explanation for the remarkable power of mirror symmetry to connect complex and symplectic geometry. The main theme of this book is the interplay between tropical geometry and mirror symmetry, culminating in a description of the recent work of Gross and Siebert using log geometry to understand how the tropical world relates the A- and B-models in mirror symmetry. The text starts with a detailed introduction to the notions of tropical curves and manifolds, and then gives a thorough description of both sides of mirror symmetry for projective space, bringing together material which so far can only be found scattered throughout the literature. Next follows an introduction to the log geometry of Fontaine-Illusie and Kato, as needed for Nishinou and Siebert's proof of Mikhalkin's tropical curve counting formulas. This latter proof is given in the fourth chapter. The fifth chapter considers the mirror, B-model side, giving recent results of the author showing how tropical geometry can be used to evaluate the oscillatory integrals appearing. The final chapter surveys reconstruction results of the author and Siebert for ``integral tropical manifolds.'' A complete version of the argument is given in two dimensions.
Book Synopsis Maps and Mirrors by : Steve Martinot
Download or read book Maps and Mirrors written by Steve Martinot and published by Northwestern University Press. This book was released on 2001 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maps and Mirrors explores the links and gaps between the aesthetic and the political at the intersection of philosophy and literature. Testing the major voices of aesthetic and literary theory, it raises important questions about the implicit political contexts and commitments of thinkers from Kant to de Man. Taken together the essays provide a tour of the complexities and richness of contemporary modes of critique.
Book Synopsis World Literature as Discovery by : Zhang Longxi
Download or read book World Literature as Discovery written by Zhang Longxi and published by Taylor & Francis. This book was released on 2023-09-15 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: The rise of world literature is the most noticeable phenomenon in literary studies in the twenty-first century. However, truly well-known and globally circulating works are all canonical works of European or Western literature, while non-European and even "minor" European literatures remain largely unknown beyond their culture of origin. World Literature as Discovery: Expanding the World Literary Canon argues that world literature for our time must go beyond Eurocentrism and expand the canon to include great works from non-European and "minor" European literatures. As much of the world’s literature remains untranslated and unknown, the expansion will be an exciting process of discovery. By discussing fundamental questions around canon, circulation, aesthetic values, translation, cosmopolitanism, and the literary universal, Zhang Longxi proposes a new and liberating concept of world literature that will shape world literature worthy of its name. This book speaks for a more inclusive idea of world literature and shows students and scholars alike that all the literary traditions, particularly non-European traditions, will be able to make important contributions and expand the canon of world literature.
Download or read book Mirror Symmetry written by Kentaro Hori and published by American Mathematical Soc.. This book was released on 2003 with total page 954 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thorough and detailed exposition is the result of an intensive month-long course on mirror symmetry sponsored by the Clay Mathematics Institute. It develops mirror symmetry from both mathematical and physical perspectives with the aim of furthering interaction between the two fields. The material will be particularly useful for mathematicians and physicists who wish to advance their understanding across both disciplines. Mirror symmetry is a phenomenon arising in string theory in which two very different manifolds give rise to equivalent physics. Such a correspondence has significant mathematical consequences, the most familiar of which involves the enumeration of holomorphic curves inside complex manifolds by solving differential equations obtained from a ``mirror'' geometry. The inclusion of D-brane states in the equivalence has led to further conjectures involving calibrated submanifolds of the mirror pairs and new (conjectural) invariants of complex manifolds: the Gopakumar-Vafa invariants. This book gives a single, cohesive treatment of mirror symmetry. Parts 1 and 2 develop the necessary mathematical and physical background from ``scratch''. The treatment is focused, developing only the material most necessary for the task. In Parts 3 and 4 the physical and mathematical proofs of mirror symmetry are given. From the physics side, this means demonstrating that two different physical theories give isomorphic physics. Each physical theory can be described geometrically, and thus mirror symmetry gives rise to a ``pairing'' of geometries. The proof involves applying $R\leftrightarrow 1/R$ circle duality to the phases of the fields in the gauged linear sigma model. The mathematics proof develops Gromov-Witten theory in the algebraic setting, beginning with the moduli spaces of curves and maps, and uses localization techniques to show that certain hypergeometric functions encode the Gromov-Witten invariants in genus zero, as is predicted by mirror symmetry. Part 5 is devoted to advanced topi This one-of-a-kind book is suitable for graduate students and research mathematicians interested in mathematics and mathematical and theoretical physics.
Book Synopsis Groups, Combinatorics and Geometry by : Martin W. Liebeck
Download or read book Groups, Combinatorics and Geometry written by Martin W. Liebeck and published by Cambridge University Press. This book was released on 1992-09-10 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of papers on the subject of the classification of finite simple groups.
Book Synopsis Classical Mirror Symmetry by : Masao Jinzenji
Download or read book Classical Mirror Symmetry written by Masao Jinzenji and published by Springer. This book was released on 2018-04-18 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book furnishes a brief introduction to classical mirror symmetry, a term that denotes the process of computing Gromov–Witten invariants of a Calabi–Yau threefold by using the Picard–Fuchs differential equation of period integrals of its mirror Calabi–Yau threefold. The book concentrates on the best-known example, the quintic hypersurface in 4-dimensional projective space, and its mirror manifold.First, there is a brief review of the process of discovery of mirror symmetry and the striking result proposed in the celebrated paper by Candelas and his collaborators. Next, some elementary results of complex manifolds and Chern classes needed for study of mirror symmetry are explained. Then the topological sigma models, the A-model and the B-model, are introduced. The classical mirror symmetry hypothesis is explained as the equivalence between the correlation function of the A-model of a quintic hyper-surface and that of the B-model of its mirror manifold.On the B-model side, the process of construction of a pair of mirror Calabi–Yau threefold using toric geometry is briefly explained. Also given are detailed explanations of the derivation of the Picard–Fuchs differential equation of the period integrals and on the process of deriving the instanton expansion of the A-model Yukawa coupling based on the mirror symmetry hypothesis.On the A-model side, the moduli space of degree d quasimaps from CP^1 with two marked points to CP^4 is introduced, with reconstruction of the period integrals used in the B-model side as generating functions of the intersection numbers of the moduli space. Lastly, a mathematical justification for the process of the B-model computation from the point of view of the geometry of the moduli space of quasimaps is given.The style of description is between that of mathematics and physics, with the assumption that readers have standard graduate student backgrounds in both disciplines.
Download or read book Mirror Symmetry written by Claire Voisin and published by American Mathematical Soc.. This book was released on 1999 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the English translation of Professor Voisin's book reflecting the discovery of the mirror symmetry phenomenon. The first chapter is devoted to the geometry of Calabi-Yau manifolds, and the second describes, as motivation, the ideas from quantum field theory that led to the discovery of mirror symmetry. The other chapters deal with more specialized aspects of the subject: the work of Candelas, de la Ossa, Greene, and Parkes, based on the fact that under the mirror symmetry hypothesis, the variation of Hodge structure of a Calabi-Yau threefold determines the Gromov-Witten invariants of its mirror; Batyrev's construction, which exhibits the mirror symmetry phenomenon between hypersurfaces of toric Fano varieties, after a combinatorial classification of the latter; the mathematical construction of the Gromov-Witten potential, and the proof of its crucial property (that it satisfies the WDVV equation), which makes it possible to construct a flat connection underlying a variation of Hodge structure in the Calabi-Yau case. The book concludes with the first "naive" Givental computation, which is a mysterious mathematical justification of the computation of Candelas, et al.
Download or read book Marx in Motion written by Thomas Nail and published by Oxford University Press. This book was released on 2020-07-17 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Karl Marx is the most historically foundational and systematic critic of capitalism to date, and the years since the 2008 financial crisis have witnessed a rebirth of his popular appeal. In a world of rising income inequality, right-wing nationalisms, and global climate change, people are again looking to the father of modern socialism for answers. As this book argues, every era since Marx's death has reinvented him to fit its needs. There is not one Marx forever and for all time. There are a thousand Marxes. As Thomas Nail contends, one of the most significant contributions of Marx's work is that it treats theory itself as a historical practice. Reading Marx is not just an interpretative activity but a creative one. As our historical conditions change, so do the kinds of questions we pose and the kinds of answers we find in Marx's writing. This book is a return to the writings of Karl Marx, including his under-appreciated dissertation, through the lens of the pressing philosophical and political problems of our time: ecological crisis, gender inequality, colonialism, and global mobility. However, the aim of this book is not to make Marxism relevant by "applying" it to contemporary issues. Instead, Marx in Motion, the first new materialist interpretation of Marx's work, treats Capital as if it were already a response to the present. Thomas Nail argues that Marx was a new materialist avant la lettre. He argues that Marx did not believe history was determined, or that matter was passive, or that humans were separate or superior to nature. Marx did not even have a labor theory of value. Marxists argue that new materialists lack a sufficient political and economic theory, and new materialists argue that Marx's materialism is human-centric and mechanistic. This book aims to solve both problems by proposing a new materialist Marxism.
Book Synopsis Topics in Singularity Theory by : Alekseĭ Nikolaevich Khovanskiĭ
Download or read book Topics in Singularity Theory written by Alekseĭ Nikolaevich Khovanskiĭ and published by American Mathematical Soc.. This book was released on 1997 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Translating Totality in Parts by : Guo Cheen
Download or read book Translating Totality in Parts written by Guo Cheen and published by University Press of America. This book was released on 2014-03-25 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translating Totality in Parts offers an annotated translation of two of preeminent Chinese Tang dynasty monk Chengguan’s most revered masterpieces. With this book, Chengguan’s Commentaries to the Avatamsaka Sutra and The Meanings Proclaimed in the Subcommentaries Accompanying the Commentaries to the Avatamsaka Sutra are finally brought to contemporary Western audiences. Translating Totality in Parts allows Western readers to experience Chengguan’s important contributions to the religious and philosophical theory of the Huayan and Buddhism in China.
Book Synopsis Low-Dimensional Topology and Quantum Field Theory by : Hugh Osborn
Download or read book Low-Dimensional Topology and Quantum Field Theory written by Hugh Osborn and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The motivations, goals and general culture of theoretical physics and mathematics are different. Most practitioners of either discipline have no necessity for most of the time to keep abreast of the latest developments in the other. However on occasion newly developed mathematical concepts become relevant in theoretical physics and the less rigorous theoretical physics framework may prove valuable in understanding and suggesting new theorems and approaches in pure mathematics. Such interdis ciplinary successes invariably cause much rejoicing, as over a prodigal son returned. In recent years the framework provided by quantum field theory and functional in tegrals, developed over half a century in theoretical physics, have proved a fertile soil for developments in low dimensional topology and especially knot theory. Given this background it was particularly pleasing that NATO was able to generously sup port an Advanced Research Workshop to be held in Cambridge, England from 6th to 12th September 1992 with the title Low Dimensional Topology and Quantum Field Theory. Although independently organised this overlapped as far as some speak ers were concerned with a longer term programme with the same title organised by Professor M Green, Professor E Corrigan and Dr R Lickorish. The contents of this proceedings of the workshop demonstrate the breadth of topics now of interest on the interface between theoretical physics and mathematics as well as the sophistication of the mathematical tools required in current theoretical physics.
Download or read book Middlemarch written by Adam Roberts and published by Open Book Publishers. This book was released on 2021-03-31 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Middlemarch, George Eliot draws a character passionately absorbed by abstruse allusion and obscure epigraphs. Casaubon’s obsession is a cautionary tale, but Adam Roberts nonetheless sees in him an invitation to take Eliot’s use of epigraphy and allusion seriously, and this book is an attempt to do just that. Roberts considers the epigraph as a mirror that refracts the meaning of a text, and that thus carries important resonances for the way Eliot’s novels generate their meanings. In this lively and provoking study, he tracks down those allusions and quotations that have hitherto gone unidentified by scholars, examining their relationship to the text in which they sit to unfurl a broader argument about the novel – both this novel, and the novel form itself. Middlemarch: Epigraphs and Mirrors is both a study of George Eliot and a meditation on the textuality of fiction. It is essential reading for specialists and students of George Eliot, the nineteenth century novel, and intertextuality. It will also richly reward anyone who has ever taken pleasure in Middlemarch.
Book Synopsis Essays on Mirror Manifolds by : Shing-Tung Yau
Download or read book Essays on Mirror Manifolds written by Shing-Tung Yau and published by . This book was released on 1992 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vol. 1 represents a new ed. of papers which were originally published in Essays on mirror manifolds (1992); supplemented by the additional volume: Mirror symmetry 2 which presents papers by both physicists and mathematicians. Mirror symmetry 1 (the 1st volume) constitutes the proceedings of the Mathematical Sciences Research Institute Workshop of 1991.
Book Synopsis Unit, Direct Support, and General Support Maintenance Repair Parts and Special Tools Lists by :
Download or read book Unit, Direct Support, and General Support Maintenance Repair Parts and Special Tools Lists written by and published by . This book was released on 1991 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt:
