🎉   Please check out our new website over at books-etc.com.

Seller
Your price
£68.00
Out of Stock

Intersection Cohomology, Simplicial Blow-Up and Rational Homotopy

Memoirs of the American Mathematical Society

Genres: Geometry, Topology
Format: Paperback / softback
Publisher: American Mathematical Society, Providence, United States
Published: 30th Jul 2018
Dimensions: w 178mm h 254mm d 20mm
Weight: 232g
ISBN-10: 1470428873
ISBN-13: 9781470428877
Barcode No: 9781470428877
Trade or Institutional customer? Contact us about large order quotes.
Synopsis
Let $X$ be a pseudomanifold. In this text, the authors use a simplicial blow-up to define a cochain complex whose cohomology with coefficients in a field, is isomorphic to the intersection cohomology of $X$, introduced by M. Goresky and R. MacPherson. The authors do it simplicially in the setting of a filtered version of face sets, also called simplicial sets without degeneracies, in the sense of C. P. Rourke and B. J. Sanderson. They define perverse local systems over filtered face sets and intersection cohomology with coefficients in a perverse local system. In particular, as announced above when $X$ is a pseudomanifold, the authors get a perverse local system of cochains quasi-isomorphic to the intersection cochains of Goresky and MacPherson, over a field. We show also that these two complexes of cochains are quasi-isomorphic to a filtered version of Sullivan's differential forms over the field $\mathbb Q$. In a second step, they use these forms to extend Sullivan's presentation of rational homotopy type to intersection cohomology.

New & Used

Seller Information Condition Price
-New
Out of Stock

What Reviewers Are Saying

Be the first to review this item. Submit your review now