The cohomology of certain function spaces-Reference-Cited by-同舟云学术

The cohomology of certain function spaces

Published:1991 Issue:1 Volume:326 Page:423-440
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Bendersky Martin,Gitler Sam

Abstract

We study a spectral sequence converging to the cohomology of the configuration space of n n ordered points in a manifold. A chain complex is constructed with homology equal to the E 2 {E_2} term. If the field is the rationals and the manifold is formal then the spectral sequence is shown to collapse. The results are applied to compute the Anderson spectral sequence converging to the cohomology of a function space.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1991-326-01/S0002-9947-1991-1010881-8/S0002-9947-1991-1010881-8.pdf

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