**ISBN:** 0821829882

**Author:** Markus Banagl

**Language:** English

**Publisher:** Amer Mathematical Society (November 1, 2002)

**Pages:** 83

**Category:** Science & Mathematics

**Subcategory:** Other

**Rating:** 4.3

**Votes:** 516

**Size Fb2:** 1329 kb

**Size ePub:** 1456 kb

**Size Djvu:** 1220 kb

**Other formats:** lrf mobi mbr txt

Table of Contents Book Series Name: Memoirs of the American Mathematical Society. Publication Month and Year: 2013-03-17.

Intersection homology theory provides a way to obtain generalized Poincaré duality, as well as a signature and characteristic classes, for singular spaces. For this to work, one has had to assume however that the space satisfies the so-called Witt condition. Extending Intersection Homology Type Invariants to Non-Witt Spaces. Base Product Code Keyword List: memo; MEMO; memo/160; MEMO/160; memo-160; MEMO-160; memo/160/760; MEMO/160/760; memo-160-760; MEMO-160-760. Book Series Name: Memoirs of the American Mathematical Society.

CHAPTER 1 Introduction 1. History The question of extending Poincare duality to a suitable kind of homology on spaces . History The question of extending Poincare duality to a suitable kind of homology on spaces more general than manifolds was attacked by Goresky and MacPherson, us- ing sheaf-theoretic methods, in their fundamental paper. They construct a differential complex of sheaves IC (X) defined on a pseudomanifold X and de- pending on a parameter p, the so-called perversity. In that case, the canonical morphism IC ^ - IC is a quasi-isomorphism and again lQ h{X) is self-dual.

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Start by marking Extending Intersection Homology Type Invariants To Non Witt Spaces as Want to Read: Want to Read savin. ant to Read. Details (if other): Cancel. Thanks for telling us about the problem. Intersection homology theory provides a way to obtain generalized Poincare duality, as well as a signature and characteristic classes, for singular spaces.Intersection homology theory provides a way to obtain generalized Poincare duality, as well as a signature and characteristic classes, for singular spaces

Start by marking Extending Intersection Homology Type Invariants to Non-Witt Spaces as Want to Read: Want to Read savin. We extend this approach to constructing invariants to spaces more general than Witt spaces.

Extending intersection homology type invariants to non-Witt spaces, Memoirs Amer On topological invariants of stratified maps with non-Witt target, submitted.

The Eckmann–Hilton dual of the Postnikov decomposition of a space is the homology decomposition (or Moore space decomposition) (, ) of a space. Extending intersection homology type invariants to non-Witt spaces, Memoirs Amer On topological invariants of stratified maps with non-Witt target, submitted. M. Banagl, Extending intersection homology type invariants to non-Witt spaces, Memoirs Amer. Soc. 160 (2002), no. 760, 1 – 83.

Refined Intersection Homology on non-Witt Spaces (pdf) (with P. Albin, E. Leichtnam, R. Mazzeo, P. Piazza), J. Topol. Intersection Spaces, Equivariant Moore Approximation and the Signature (pdf), (with B. Chriestenson), J. of Singularities 16 (2017), pp. 141 - 179. Topological and Hodge L-Classes of Singular Covering Spaces and Varieties with Trivial Canonical Class (pdf), Geometriae Dedicata 199 (2019), pp. 189 - 224. The L-Homology Fundamental Class for IP-Spaces and the Stratified Novikov Conjecture (pdf) (with G. Laures and J. McClure), Selecta Math. 25:7 (2019), pp. 1 - 104.

Extending intersection homology type invariants to non-Witt spaces. Intersection homology theory provides a way to obtain generalized Poincaré duality, as well as a signature and characteristic classes, for singular spaces.

Intersection homology Stratified spaces pseudomanifolds Signature . Banagl, .

Intersection homology Stratified spaces pseudomanifolds Signature Characteristic classes Bordism L-theory Novikov conjecture. McClure was partially supported by a grant from the Simons Foundation ( to James McClure). He thanks the Lord for making his work possible. Mathematics Subject Classification. 55N33 57R67 57R20 57N80 19G24. 160(760), 1–83 (2002)ogle Scholar.