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19 April 2024 |
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Article overview
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String Topology for Lie Groups | | Richard A. Hepworth
; | | Date: |
8 May 2009 | | Abstract: | In 1999 Chas and Sullivan showed that the homology of the free loop space of
an oriented manifold admits the structure of a Batalin-Vilkovisky algebra. In
this paper we give a direct description of this Batalin-Vilkovisky algebra in
the case that the manifold is a compact Lie group G. Our answer is phrased in
terms of the homology of G, the homology of the space of based loops on G, and
the homology suspension. The result is applied to compute the
Batalin-Vilkovisky algebra associated to the special orthogonal groups SO(n)
with coefficients in the rational numbers and in the integers modulo two. | | Source: | arXiv, 0905.1199 | | Services: | Forum | Review | PDF | Favorites | |
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