Surgery on Compact Manifolds
by C.T.C. Wall, A. A. Ranicki
Publisher: American Mathematical Society 1999
Number of pages: 314
This book represents an attempt to collect and systematize the methods and main applications of the method of surgery, insofar as compact (but not necessarily connected, simply connected or closed) manifolds are involved.
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by S. Hong, J. Kalliongis, D. McCullough, J. H. Rubinstein - arXiv
The elliptic 3-manifolds are the closed 3-manifolds that admit a Riemannian metric of constant positive curvature. For any elliptic 3-manifold M, the inclusion from the isometry group of M to the diffeomorphism group of M is a homotopy equivalence.
by Frank Quinn, Andrew Ranicki
Homology manifolds were developed in the 20th century to give a precise setting for Poincare's ideas on duality. They are investigated using algebraic and geometric methods. This volume is the proceedings of a workshop held in 2003.
by Jenny Wilson - University of Michigan
Contents: Five definitions of the braid group; The topology of Fn(C); The integral cohomology of the pure braid group; Generalizations of PBn and their cohomology; Transfer and twisted coefficients; Stability in the cohomology of braid groups; etc.
by S.Chmutov, S.Duzhin, J.Mostovoy - Ohio State Universit
An introduction to the theory of finite type (Vassiliev) knot invariants, with a stress on its combinatorial aspects. Written for readers with no background in this area, and we care more about the basic notions than about more advanced material.