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Spherical Cr Geometry and Dehn Surgery
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Richard Evan Schwartz
This book proves an analogue of William Thurston's celebrated hyperbolic Dehn surgery theorem in the context of complex hyperbolic discrete groups, and then derives two main geometric consequences from it. The first is the construction of large numbers of closed real hyperbolic 3-manifolds which bound complex hyperbolic orbifolds - the only known ...
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Global Surgery Formula for the Casson-Walker Invariant. (Am-140)
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Christine Lescop
This book presents a new result in 3-dimensional topology. It is well known that any closed oriented 3-manifold can be obtained by surgery on a framed link in S3. In "Global Surgery Formula for the Casson-Walker Invariant", a function F of framed links in S3 is described, and it is proven that F consistently defines an invariant, lamda (l), of ...
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Surveys on Surgery Theory: Volume 1. Papers Dedicated to C. T. C. Wall. (Am-145)
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Sylvain Cappell (Editor), Jonathan Rosenberg (Editor), Andrew Ranicki (Editor)
Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. There have been some extraordinary accomplishments in that time, which have led to enormously varied interactions with algebra, analysis, and geometry. Workers in many of these areas have often lamented the lack of a single source that surveys ...
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High-Dimensional Knot Theory
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Andrew Ranicki
High-dimensional knot theory is the study of the embeddings of n-dimensional manifolds in (n+2)-dimensional manifolds, generalizing the traditional study of knots in the case n=1. The main theme is the application of the author's algebraic theory of surgery to provide a unified treatment of the invariants of codimension 2 embeddings, generalizing ...
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Classifying Spaces for Surgery and Corbordism of Manifolds. (Am-92)
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IB Madsen, R James Milgram
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Algebraic and Geometric Surgery
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Andrew Ranicki
This book is an introduction to surgery theory: the standard classification method for high-dimensional manifolds. It is aimed at graduate students who have already had a basic topology course, and would now like to understand the topology of high-dimensional manifolds. This text contains entry-level accounts of the various prerequisites of both ...
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Surgery on Contact 3-Manifolds and Stein Surfaces
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Burak Ozbagci, Andras I Stipsicz, Andrs I Stipsicz
This book is about an investigation of recent developments in the field of symplectic and contact structures on four and three dimensional manifolds, respectively, from a topologist's point of view. The level of the book is appropriate for advanced graduate students. There is no doubt that symplectic and contact structures are in the center of ...
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Algebraic L-theory and topological manifolds
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A A Ranicki
This book presents a definitive account of the applications of the algebraic L-theory to the surgery classification of topological manifolds. The central result is the identification of a manifold structure in the homotopy type of a Poincare duality space with a local quadratic structure in the chain homotopy type of the universal cover. The ...
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Chirurgie Des Grassmanniennes
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by
Laurent Lafforgue
The AMS now makes available this succinct and quite elegant research monograph written by Fields Medalist and eminent researcher, Laurent Lafforgue. The material is an outgrowth of Lafforgue's lectures and seminar at the Centre de Recherches Mathematiques (University of Montreal, QC, Canada), where he held the 2001-2002 Aisenstadt Chair. In the ...
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Index Theory, Coarse Geometry, and Topology of Manifolds
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by
John Roe
The Atiyah-Singer index theorem is one of the most powerful tools for relating geometry, analysis, and topology. In its original form, however, it applies only to compact manifolds. This book describes a version of index theory which works for noncompact spaces with appropriate control, such as complete Riemannian manifolds. The relevant 'control' ...
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Surgery on Simply-Connected Manifolds
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William Browder
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The Classifying Spaces for Surgery and Cobordism of Manifolds
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I B Maden, IB Madsen, R James Milgram
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Exact Sequences in the Algebraic Theory of Surgery
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Andrew Ranicki
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Surgical Methods in Rigidity
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F T Farrell, Tom Farrell
This book is an introduction to the topological rigidity theorem for compact non-positively curved Riemannian manifolds. It contains a quick informal account of the background material from surgery theory and controlled topology prerequesite to this result. It is intended for researchers and advanced graduate students in both differential geometry ...
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Two-Bridge Knots Have Property P
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Moto-O Takahashi
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Equivariant surgery theories and their periodicity properties
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Karl Heinz Dovermann
The theory of surgery on manifolds has been generalized to categories of manifolds with group actions in several different ways. This book discusses some basic properties that such theories have in common. Special emphasis is placed on analogs of the fourfold periodicity theorems in ordinary surgery and the roles of standard general position ...
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Surgery on compact manifolds
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C. T. C. Wall
The publication of this book in 1970 marked the culmination of a particularly exciting period in the history of the topology of manifolds. The world of high-dimensional manifolds had been opened up to the classification methods of algebraic topology by Thom's work in 1952 on transversality and cobordism, the signature theorem of Hirzebruch in 1954 ...
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Surgery with coefficients
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Gerald A Anderson
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Toroidal Dehn Fillings on Hyperbolic 3-Manifolds
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Cameron Gordon
The authors determine all hyperbolic $3$-manifolds $M$ admitting two toroidal Dehn fillings at distance $4$ or $5$. They show that if $M$ is a hyperbolic $3$-manifold with a torus boundary component $T 0$, and $r,s$ are two slopes on $T 0$ with $\Delta(r,s) = 4$ or $5$ such that $M(r)$ and $M(s)$ both contain an essential torus, then $M$ is either ...
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Local Surgery and the Exact Sequence of a Localization for Wall Groups
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William Pardon
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Induction Theorems for Groups of Homotopy Manifold Structures
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Andrew J. Nicas
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A Product Formula for Surgery Obstructions
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John W. Morgan
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G Surgery II
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Ted Petrie, Karl H. Dovermann
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Combinatorial Symmetries of the M-Dimensional Ball
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Lowell Jones
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Surgery on Codimension 2 Submanifolds
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Michael H. Freedman
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