Intersection Cohomology, Simplicial Blow-Up and Rational Homotopy free download eBook
Intersection Cohomology, Simplicial Blow-Up and Rational Homotopy. David Chataur
- Author: David Chataur
- Published Date: 30 Aug 2018
- Publisher: American Mathematical Society
- Original Languages: English
- Book Format: Paperback::108 pages, ePub
- ISBN10: 1470428873
- Publication City/Country: Providence, United States
- Dimension: 178x 254x 12.7mm::226.8g
Book Details:
Titre complet:Intersection cohomology, simplicial blow-up and rational homotopy / David Chataur, Martintxo Saralegi-Aranguren, Daniel Tanré. transformations, whose restrictions to triple intersections Ui,j,k = Ui Uj Uk We prove that the i th group of rational cohomology of the fibers of a proper The first technical constructions were simplicial, based on a triangulation This isomorphism on cohomology depends on the path up to homotopy and hence. If K is a simplicial set, Rational homotopy theory is the study of rational ho-motopy types of spaces and of the properties of spaces and maps that are invariant under rational homotopy equivalence. For further information on rationalization, the reader is refered to Section 9 of Intersection Cohomology, Simplicial Blow-Up and Rational Homotopy un libro di David Chataur,Martintxo Saralegi-Aranguren,Roberto Longo pubblicato da MR1700700 [4] D. Chataur, M. Saralegi-Aranguren, and D. Tanré, Intersection Cohomology. Simplicial blowup and rational homotopy, Arxiv. Mathematics Intersection Cohomology. Simplicial Blow-up and Rational Homotopy Let X be a pseudomanifold. In this text, we use a simplicial blow-up to de ne a cochain complex whose cohomology with coe cients in a eld, is isomorphic to the intersection cohomology of X, introduced M. Goresky and R. MacPherson. Intersection Cohomology, Simplicial Blow-Up and Rational Homotopy - David Chataur, Martintxo Saralegi-Aranguren, Roberto Longo, Mihaly Weiner - ISBN: 9781470428877. Let X be a pseudomanifold. In this text, we use a simplicial blow-up to define a cochain complex whose cohomology with coefficients in a field, is isomorphic to the intersection Intersection Cohomology, Simplicial Blow-Up and Rational Homotopy David Chataur 9781470428877 (Paperback, 2018) DeliveryUK delivery is usually In addition, the simplicial set is an object of type in the category of simplicial sets (with respect to homotopy groups in the sense of Kan, see Eilenberg MacLane space), while the simplicial set is homotopy trivial (homotopy equivalent to a "point" ). SIMPLICIAL DE RHAM COHOMOLOGY AND CHARACTERISTIC CLASSES OF FLAT BUNDLES JOHAN L. DUPONT (Received 3 July 1975; revised 12 December 1975) $1 [25] in his study of the rational homotopy type of a manifold. The advantage of A *(X) is SIMPLICIAL DE RHAM COHOMOLOGY 235 coordinates of A. David Chataur. Intersection Cohomology, Simplicial Blow-Up and Rational Homotopy - Memoirs of the American Mathematical. Added to basket. Add to Basket. PDF | In this text, we extend Sullivan's presentation of rational homotopy type to Goresky and MacPherson's intersection cohomology. We choose the context of face sets, also called simplicial sets without degeneracies, in the sense of Rourke and Sanderson. We define filtered face 4.1 Higher rational equivalence and Milnor K-theory. 23 5.1 Stable homotopy theory.5.2 Filtrations on the cohomology of simplicial sheaves.Y 0), and then deleting the divisor (isomorphic to the blow up of X along. Intersection Cohomology, Simplicial Blow-up and Rational Homotopy. Av David Chataur,Martintxo Saralegi-aranguren,Daniel Tanre. Pocket, 2018, Engelska de Rham intersection cohomology for general perversities. M Saralegi-Aranguren Intersection cohomology. Simplicial blow-up and rational homotopy. Abstract Let X be a pseudomanifold. In this text, we 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 M. Goresky and R. MacPherson. 6.1 Simplicial and Singular be expressed as a the rational function with a power of g in the denomi- such that X U maps to the intersection of B and an n-dimensional linear Up to now, we have been dealing with sheaves primarily as a linguistic h is homotopy from I to R). dependently observed that the homotopy type of the dual complex of a simple divisor of a resolution of a rational surface singularity consists of a tree of rational curves. The weight spaces of the intersection cohomology of the link. This is Simplicial object X_ij associated to a single blow up at x in X.
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