2006.338: Colimits, Stanley-Reisner algebras, and loop spaces

2006.338: Taras Panov, Nigel Ray and Rainer Vogt (2004) Colimits, Stanley-Reisner algebras, and loop spaces. In: G. Arone, J. Hubbuck, R. Levi and M. Weiss, (eds). Categorical Decomposition Techniques in Algebraic Topology. Progress in Mathematics, 215. Birkhauser Verlag, Basel, pp. 261-291. ISBN 3-7643-0400-6

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Official URL: http://www.springer.com/west/home/birkhauser/mathematics?SGWID=4-40292-22-14202774-detailsPage=ppmmedia|aboutThisBook

Abstract

The book consists of articles at the frontier of current research in Algebraic Topology. It presents recent results by top notch experts, and is intended primarily for researchers and graduate students working in the field of algebraic topology. Included is an important article by Cohen, Johnes and Yan on the the homology of the space of smooth loops on a manifold M, endowed with the Chas-Sullivan intersection product, as well as an article by Goerss, Henn and Mahowald on stable homotopy groups of spheres, which uses the cutting edge technology of "topological modular forms".

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