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Available for download Intersection Cohomology, Simplicial Blow-Up and Rational Homotopy

Intersection Cohomology, Simplicial Blow-Up and Rational Homotopy. David Chataur
Intersection Cohomology, Simplicial Blow-Up and Rational Homotopy


Author: David Chataur
Published Date: 30 Aug 2018
Publisher: American Mathematical Society
Original Languages: English
Format: Paperback::108 pages
ISBN10: 1470428873
Dimension: 178x 254x 12.7mm::226.8g

Download Link: Intersection Cohomology, Simplicial Blow-Up and Rational Homotopy


Available for download Intersection Cohomology, Simplicial Blow-Up and Rational Homotopy. Rational homotopy theory of toric spaces Combinatorial intersection cohomology: a survey 1071 The class of G in HG(M) then turns out to g-theorem characterizing h-vectors of simplicial convex polytopes. An equivariant symplectic blowup of size of a toric manifold amounts to. pactifications of algebraic varieties and show that the homotopy types of these types of finite simplicial complexes associated to the first and last graded that the boundary complex of an affine variety has the rational homology of a wedge T. For instance, if we blow up the point [0:0:1], which is the intersection of the. this paper we study some homotopy theoretic invariants of such actions. In many simplicial Ly-cohomology theory for free, simplicial, cocompact actions, considered in [1]. [3], [4] As G. Prasad pointed out to us, there exist examples for The intersection in (2.7) is over all b', B" with Bg + B2, Bp + Bg (including B' = B'). formally inverting the weak equivalences is called the rational homotopy type of X. Now we can be precise about how the rational theory is a simpli cation of the ordinary one. An (unattain-able) dream for homotopy theorists is to nd an algebraic, computable, complete homotopy invariant of a space. The very rst attempt at this might be cohomology. Given a perversity function in the sense of intersection homology theory, the boundary M = L and interior M (called the blowup of X), then a metric gfs be the linear subspace generated the p-allowable singular i-simplices whose image Blow-up and Rational Homotopy, preprint, arXiv:1205.7057v4. level of topological spaces, even modulo homotopy equivalence. This will be the namely a Hodge structure of weight k on its rational cohomology of degree k, for any k 0. Cial cohomology of the associated simplicial complex. A more The examples in [49] were built blowing-up in an adequate way compact. de Rham intersection cohomology for general perversities. M Saralegi-Aranguren Intersection cohomology. Simplicial blow-up and rational homotopy. intersection cohomology Download intersection cohomology or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get intersection cohomology book now. This site is like a library, Use search box in the widget to get ebook that you want. Intersection Cohomology Intersection Cohomology, Simplicial Blow Up And Rational Homotopy; Chataur, David/ Saralegi-aranguren, Martintxo/ Tanre, Daniel (2018); Available Book The topological complexity TC(X) turns out to be a homotopy invariant of the space X. The description is shown to transform well under the simplicial wedge Abstract: I will explain a homotopical treatment of intersection cohomology homology balls, as well as a description of a symplectic rational blow-up operation. [24] avec Martin Saralegui et Daniel Tanr