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Casson`s Invariant for Oriented Homology Three-Spheres: An Exposition. (MN-36)

In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This;

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Global Surgery Formula for the Casson-Walker Invariant. (AM-140), Volume 140

invariants of 3-manifolds. For integral homology spheres, l is the invariant introduced by Casson in 1985, which allowed him to solve old and famous;

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An Extension of Casson's Invariant. (AM-126), Volume 126

This book describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the;

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Modern Spherical Functions

of an invariant differential operator. Also explored are the classical results for spheres and complex projective spaces and the relation;

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Bordered Heegaard Floer Homology

The authors construct Heegaard Floer theory for 3-manifolds with connected boundary. The theory associates to an oriented, parametrized two;

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Introduction to Ergodic Theory (MN-18), Volume 18

Based on lectures in Erevan, this exposition of ergodic theory contains a rich collection of examples well chosen to introduce the reader;

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Mod Two Homology and Cohomology

at an earlier stage, 4. Simple geometrical interpretations of (co)chains. Mod 2 (co)homology was developed in the first quarter of the;

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Stable Homotopy and Generalised Homology

cobordism, Quillen's work on formal groups and complex cobordism, and stable homotopy and generalized homology. Adams's exposition of the first two;

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Differential Topology: Lectures Given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Varenna (Como), It

de S^3 est nulle.- G. Wallet: Invariant de Godbillon-Vey et diffeomorphismes commutants.;

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C*-Algebra Extensions and K-Homology. (AM-95), Volume 95

compact metrizable space X form an abelian group Ext (X). Second, he shows that the correspondence X ? Ext (X) defines a homotopy invariant;

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Recent Progress In Conformal Geometry

a three-dimensional manifold. The homology is invariant under deformation of the contact form, and can be read on a sub-Morse complex of the;

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Differential Algebraic Topology

proved. This implies that for nice spaces these homology groups agree with ordinary singular homology. Besides the standard computations;

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Lecture Notes On Knot Invariants

). It also presents explicit computations to the Casson-Lin invariant via braid representations.With the approach of an explicit computational;

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Much Ado About Noting

written by Henry Neville. By matching handwriting and vocabulary, Casson shows these are connected with three other 'Shakespeare' manuscripts. He;

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Introduction to Algebraic Topology

, making this a convenient resource for instructors searching for a comprehensive overview of the area. It begins with an outline of category;

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London Mathematical Society Student Texts

serve as an introduction to the applications of hyperbolic geometry to low dimensional topology. In particular it provides a concise exposition;

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Algebraic Topology

Algebraic Topology: An Introduction starts with the combinatorial definition of simplicial (co) homology and its main properties (including;

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Solid Analytic Geometry

an exposition of classical elementary surface and curve theory, a treatment of spheres, and an examination of the classical descriptions;

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Quantum Groups

Duality for Quantum Groups Invariant q-Difference Operators Invariant q-Difference Operators Related to GLq(n) q-Maxwell Equations Hierarchies;

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Graphs, Surfaces and Homology

viii homology groups. A weaker result, sufficient nevertheless for our purposes, is proved in Chapter 5, where the reader will also find;

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Proceedings of the Gokova Geometry-Topology Conference 2010

of Gokova Bay, Turkey, in May of 2010. This volume contains Borgeois' notes from his mini-course on contact homology, and an expository article on;

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The San Diego World's Fairs and Southwestern Memory, 1880-1940

-36. Both San Diego fairs displayed a portrait of the Southwest and its peoples for the American public. The Panama-California Exposition;

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Object Oriented Applications in Engineering Design

An object oriented approach has become a paradigm for local and distributed computing and internet applications. This text, designed as an;

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Lectures on Functor Homology

This book features a series of lectures that explores three different fields in which functor homology (short for homological algebra;

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Weakly Stationary Random Fields, Invariant Subspaces and Applications

The first book to examine weakly stationary random fields and their connections with invariant subspaces (an area associated with;

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Weakly Stationary Random Fields, Invariant Subspaces and Applications

The first book to examine weakly stationary random fields and their connections with invariant subspaces (an area associated with;

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The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. (MN-44), Volume 44

practical level, the new invariants have proved to be more powerful and have led to a vast generalization of earlier results. This book is an;

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