Author : Steven Zelditch
Publisher : American Mathematical Soc.
Page : 113 pages
File Size : 45,30 MB
Release : 1992
Category : Curves on surfaces
ISBN : 0821825267
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.
Author : Steven Zelditch
Publisher :
Page : 102 pages
File Size : 27,10 MB
Release : 1992
Category : Curves on surfaces
ISBN : 9781470408916
Author : Steven Zelditch
Publisher : American Mathematical Soc.
Page : 116 pages
File Size : 37,1 MB
Release :
Category : Mathematics
ISBN : 9780821861882
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.
Author : Stanley O. Kochman
Publisher : American Mathematical Soc.
Page : 105 pages
File Size : 42,14 MB
Release : 1993
Category : Mathematics
ISBN : 0821825585
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.
Author : F. Thomas Farrell
Publisher : American Mathematical Soc.
Page : 151 pages
File Size : 14,16 MB
Release : 1993
Category : Mathematics
ISBN : 0821825534
The authors' argument is a spiritual descendent of earlier work of Adler and Weiss, Sinaĭ, and Bowen, and involves a close study of triangulations. The discussion is long and technical, but the outline of the proof is sketched clearly in Section 1 for the special case of [italic]F an expanding immersion. A concluding section lists problems on hyperbolic sets, Markov partitions, and related matters; remarks on topological invariants, including the conjectured vanishing of Pontryagin classes for manifolds supporting Anosov diffeomorphisms, may be of particular interest.
Author : Shirō Gotō
Publisher : American Mathematical Soc.
Page : 149 pages
File Size : 44,10 MB
Release : 1994
Category : Mathematics
ISBN : 0821825844
At first, this volume was intended to be an investigation of symbolic blow-up rings for prime ideals defining curve singularities. The motivation for that has come from the recent 3-dimensional counterexamples to Cowsik's question, given by the authors and Watanabe: it has to be helpful, for further researches on Cowsik's question and a related problem of Kronecker, to generalize their methods to those of a higher dimension. However, while the study was progressing, it proved apparent that the framework of Part I still works, not only for the rather special symbolic blow-up rings but also in the study of Rees algebras R(F) associated to general filtrations F = {F[subscript]n} [subscript]n [subscript][set membership symbol][subscript bold]Z of ideals. This observation is closely explained in Part II of this volume, as a general ring-theory of Rees algebras R(F). We are glad if this volume will be a new starting point for the further researchers on Rees algebras R(F) and their associated graded rings G(F).
Author : Melvin Hochster
Publisher : American Mathematical Soc.
Page : 105 pages
File Size : 24,45 MB
Release : 1993
Category : Mathematics
ISBN : 0821825569
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.
Author : Min Ji
Publisher : American Mathematical Soc.
Page : 63 pages
File Size : 12,52 MB
Release : 1993
Category : Mathematics
ISBN : 0821825607
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.
Author : Theodore Gerard Faticoni
Publisher : American Mathematical Soc.
Page : 164 pages
File Size : 24,89 MB
Release : 1993
Category : Mathematics
ISBN : 9780821825549
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."
Author : Igor Frenkel
Publisher : American Mathematical Soc.
Page : 79 pages
File Size : 20,12 MB
Release : 1993
Category : Mathematics
ISBN : 0821825550
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.
