Multiplicative Homology Operations and Transfer

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Publisher : American Mathematical Soc.
ISBN 13 : 0821825186
Total Pages : 82 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Multiplicative Homology Operations and Transfer by : Norihiko Minami

Download or read book Multiplicative Homology Operations and Transfer written by Norihiko Minami and published by American Mathematical Soc.. This book was released on 1991 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this paper is to present a totally new approach to homology operations on [italic capitals]QS0 including their foundations and some applications. One strategy is to deduce relations among the various operations as consequences of similar relations among various operations on Burnside rings.

Phantom Homology

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Publisher : American Mathematical Soc.
ISBN 13 : 0821825569
Total Pages : 105 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Phantom Homology by : Melvin Hochster

Download or read book Phantom Homology written by Melvin Hochster and published by American Mathematical Soc.. This book was released on 1993 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses a powerful new technique, tight closure, to provide insight into many different problems that were previously not recognized as related. The authors develop the notion of weakly Cohen-Macaulay rings or modules and prove some very general acyclicity theorems. These theorems are applied to the new theory of phantom homology, which uses tight closure techniques to show that certain elements in the homology of complexes must vanish when mapped to well-behaved rings. These ideas are used to strengthen various local homological conjectures. Initially, the authors develop the theory in positive characteristic, but it can be extended to characteristic 0 by the method of reduction to characteristic $p$. The book would be suitable for use in an advanced graduate course in commutative algebra.

Coarse Cohomology and Index Theory on Complete Riemannian Manifolds

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Publisher : American Mathematical Soc.
ISBN 13 : 0821825593
Total Pages : 106 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Coarse Cohomology and Index Theory on Complete Riemannian Manifolds by : John Roe

Download or read book Coarse Cohomology and Index Theory on Complete Riemannian Manifolds written by John Roe and published by American Mathematical Soc.. This book was released on 1993 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: "July 1993, volume 104, number 497 (fourth of 6 numbers)."

Imbeddings of Three-Manifold Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821825348
Total Pages : 71 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Imbeddings of Three-Manifold Groups by : Francisco González-Acuña

Download or read book Imbeddings of Three-Manifold Groups written by Francisco González-Acuña and published by American Mathematical Soc.. This book was released on 1992 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper deals with the two broad questions of how 3-manifold groups imbed in one another and how such imbeddings relate to any corresponding [lowercase Greek]Pi1-injective maps. In particular, we are interested in 1) determining which 3-manifold groups are no cohopfian, that is, which 3-manifold groups imbed properly in themselves, 2) determining the knot subgroups of a knot group, and 3) determining when surgery on a knot [italic]K yields a lens (or "lens-like") space and the relationship of such a surgery to the knot-subgroup structure of [lowercase Greek]Pi1([italic]S3 - [italic]K). Our work requires the formulation of a deformation theorem for [lowercase Greek]Pi1-injective maps between certain kinds of Haken manifolds and the development of some algebraic tools.

Selberg Trace Formulae and Equidistribution Theorems for Closed Geodesics and Laplace

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Publisher : American Mathematical Soc.
ISBN 13 : 0821825267
Total Pages : 113 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Selberg Trace Formulae and Equidistribution Theorems for Closed Geodesics and Laplace by : Steven Zelditch

Download or read book Selberg Trace Formulae and Equidistribution Theorems for Closed Geodesics and Laplace written by Steven Zelditch and published by American Mathematical Soc.. This book was released on 1992 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is concerned with a pair of dual asymptotics problems on a finite-area hyperbolic surface. The first problem is to determine the distribution of closed geodesics in the unit tangent bundle. The second problem is to determine the distribution of eigenfunctions (in microlocal sense) in the unit tangent bundle.

Kernel Functions, Analytic Torsion, and Moduli Spaces

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Publisher : American Mathematical Soc.
ISBN 13 : 082182550X
Total Pages : 137 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Kernel Functions, Analytic Torsion, and Moduli Spaces by : John David Fay

Download or read book Kernel Functions, Analytic Torsion, and Moduli Spaces written by John David Fay and published by American Mathematical Soc.. This book was released on 1992 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir is a study of Ray-Singer analytic torsion for hermitian vector bundles on a compact Riemann surface [italic]C. The torsion is expressed through the trace of a modified resolvent. Thus, one can develop perturbation-curvature formulae for the Green-Szegö kernel and also for the torsion in terms of the Ahlfors-Bers complex structure of the Teichmuller space and Mumford complex structure of the moduli space of stable bundles of degree zero on [italic]C.

On Axiomatic Approaches to Vertex Operator Algebras and Modules

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Publisher : American Mathematical Soc.
ISBN 13 : 0821825550
Total Pages : 79 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis On Axiomatic Approaches to Vertex Operator Algebras and Modules by : Igor Frenkel

Download or read book On Axiomatic Approaches to Vertex Operator Algebras and Modules written by Igor Frenkel and published by American Mathematical Soc.. This book was released on 1993 with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt: The basic definitions and properties of vertex operator algebras, modules, intertwining operators and related concepts are presented, following a fundamental analogy with Lie algebra theory. The first steps in the development of the general theory are taken, and various natural and useful reformulations of the axioms are given. In particular, tensor products of algebras and modules, adjoint vertex operators and contragradient modules, adjoint intertwining operators and fusion rules are studied in greater depth. This paper lays the monodromy-free axiomatic foundation of the general theory of vertex operator algebras, modules and intertwining operators.

Rankin-Selberg Convolutions for $\mathrm {SO}_{2\ell +1}\times \mathrm {GL}_n$ : Local Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821825682
Total Pages : 113 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Rankin-Selberg Convolutions for $\mathrm {SO}_{2\ell +1}\times \mathrm {GL}_n$ : Local Theory by : David Soudry

Download or read book Rankin-Selberg Convolutions for $\mathrm {SO}_{2\ell +1}\times \mathrm {GL}_n$ : Local Theory written by David Soudry and published by American Mathematical Soc.. This book was released on 1993 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: On t.p. "o2olo+o1" and "on" are subscript.

Invariant Subsemigroups of Lie Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821825623
Total Pages : 209 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Invariant Subsemigroups of Lie Groups by : Karl-Hermann Neeb

Download or read book Invariant Subsemigroups of Lie Groups written by Karl-Hermann Neeb and published by American Mathematical Soc.. This book was released on 1993 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: First we investigate the structure of Lie algebras with invariant cones and give a characterization of those Lie algebras containing pointed and generating invariant cones. Then we study the global structure of invariant Lie semigroups, and how far Lie's third theorem remains true for invariant cones and Lie semigroups.

Duality and Definability in First Order Logic

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Publisher : American Mathematical Soc.
ISBN 13 : 0821825658
Total Pages : 122 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Duality and Definability in First Order Logic by : Michael Makkai

Download or read book Duality and Definability in First Order Logic written by Michael Makkai and published by American Mathematical Soc.. This book was released on 1993 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: We develop a duality theory for small Boolean pretoposes in which the dual of the [italic capital]T is the groupoid of models of a Boolean pretopos [italic capital]T equipped with additional structure derived from ultraproducts. The duality theorem states that any small Boolean pretopos is canonically equivalent to its double dual. We use a strong version of the duality theorem to prove the so-called descent theorem for Boolean pretoposes which says that category of descent data derived from a conservative pretopos morphism between Boolean pretoposes is canonically equivalent to the domain-pretopos. The descent theorem contains the Beth definability theorem for classical first order logic. Moreover, it gives, via the standard translation from the language of categories to symbolic logic, a new definability theorem for classical first order logic concerning set-valued functors on models, expressible in purely syntactical (arithmetical) terms.

Categories of Modules over Endomorphism Rings

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821825549
Total Pages : 164 pages
Book Rating : 4.8/5 (255 download)

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Book Synopsis Categories of Modules over Endomorphism Rings by : Theodore Gerard Faticoni

Download or read book Categories of Modules over Endomorphism Rings written by Theodore Gerard Faticoni and published by American Mathematical Soc.. This book was released on 1993 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is the goal of the memoir to develop a functorial transfer of properties between [italic capital]A and [script capital]M[subscript italic capital]E, the category of modules over [italic capital]E, that is more sensitive than the traditional starting point, Hom([italic capital]A, ·). This memoir should be accessible to anyone who has a working knowledge of rings, modules, functors, and categories equivalent to that gained by reading Anderson and Fuller's text "Rings and Categories of Modules."

Minimal Surfaces in Riemannian Manifolds

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Publisher : American Mathematical Soc.
ISBN 13 : 0821825607
Total Pages : 63 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Minimal Surfaces in Riemannian Manifolds by : Min Ji

Download or read book Minimal Surfaces in Riemannian Manifolds written by Min Ji and published by American Mathematical Soc.. This book was released on 1993 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: A multiple solution theory to the Plateau problem in a Riemannian manifold is established. In [italic capital]S[superscript italic]n, the existence of two solutions to this problem is obtained. The Morse-Tompkins-Shiffman Theorem is extended to the case when the ambient space admits no minimal sphere.

Lattice Structures on Banach Spaces

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Publisher : American Mathematical Soc.
ISBN 13 : 0821825577
Total Pages : 105 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lattice Structures on Banach Spaces by : Nigel John Kalton

Download or read book Lattice Structures on Banach Spaces written by Nigel John Kalton and published by American Mathematical Soc.. This book was released on 1993 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general problem addressed in this work is to characterize the possible Banach lattice structures that a separable Banach space may have. The basic questions of uniqueness of lattice structure for function spaces have been studied before, but here the approach uses random measure representations for operators in a new way to obtain more powerful conclusions.

Semistability of Amalgamated Products and HNN-Extensions

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Publisher : American Mathematical Soc.
ISBN 13 : 0821825313
Total Pages : 98 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Semistability of Amalgamated Products and HNN-Extensions by : Michael L. Mihalik

Download or read book Semistability of Amalgamated Products and HNN-Extensions written by Michael L. Mihalik and published by American Mathematical Soc.. This book was released on 1992 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work, the authors show that amalgamated products and HNN-extensions of finitely presented semistable at infinity groups are also semistable at infinity. A major step toward determining whether all finitely presented groups are semistable at infinity, this result easily generalizes to finite graphs of groups. The theory of group actions on trees and techniques derived from the proof of Dunwoody's accessibility theorem are key ingredients in this work.

Neumann Systems for the Algebraic AKNS Problem

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Publisher : American Mathematical Soc.
ISBN 13 : 0821825372
Total Pages : 79 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Neumann Systems for the Algebraic AKNS Problem by : Randolph James Schilling

Download or read book Neumann Systems for the Algebraic AKNS Problem written by Randolph James Schilling and published by American Mathematical Soc.. This book was released on 1992 with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is concerned with an algebraically completely integrable Hamiltonian system whose solutions may be used to describe the finite gap solutions of the AKNS spectral problem, a first order two-by-two matrix linear system. Trace formulas, constraints, Lax paris, and constants of motion are obtained using Krichever's algebraic inverse spectral transform. Computations are carried out explicityly over the class of spectral problems with square matrix coefficients.

Symplectic Cobordism and the Computation of Stable Stems

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Publisher : American Mathematical Soc.
ISBN 13 : 0821825585
Total Pages : 105 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Symplectic Cobordism and the Computation of Stable Stems by : Stanley O. Kochman

Download or read book Symplectic Cobordism and the Computation of Stable Stems written by Stanley O. Kochman and published by American Mathematical Soc.. This book was released on 1993 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir consists of two independent papers. In the first, "The symplectic cobordism ring III" the classical Adams spectral sequence is used to study the symplectic cobordism ring [capital Greek]Omega[superscript]* [over] [subscript italic capital]S[subscript italic]p. In the second, "The symplectic Adams Novikov spectral sequence for spheres" we analyze the symplectic Adams-Novikov spectral sequence converging to the stable homotopy groups of spheres.

Extension of Positive-Definite Distributions and Maximum Entropy

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Publisher : American Mathematical Soc.
ISBN 13 : 0821825518
Total Pages : 111 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Extension of Positive-Definite Distributions and Maximum Entropy by : Jean-Pierre Gabardo

Download or read book Extension of Positive-Definite Distributions and Maximum Entropy written by Jean-Pierre Gabardo and published by American Mathematical Soc.. This book was released on 1993 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work, the maximum entropy method is used to solve the extension problem associated with a positive-definite function, or distribution, defined on an interval of the real line. Garbardo computes explicitly the entropy maximizers corresponding to various logarithmic integrals depending on a complex parameter and investigates the relation to the problem of uniqueness of the extension. These results are based on a generalization, in both the discrete and continuous cases, of Burg's maximum entropy theorem.