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arXiv · 1301.1785

String operations on rational Gorenstein spaces

Takahito Naito
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Abstract

F\'{e}lix and Thomas developed string topology of Chas and Sullivan on simply-connected Gorenstein spaces. In this paper, we prove that the degree shifted homology of the free loop space of a simply-connected ${\mathbb Q}$-Gorenstein space with rational coefficient is a non-unital and non-counital Frobenius algebra by solving the up to constant problem. We also investigate triviality or non-triviality of the loop product and coproduct of particular Gorenstein spaces.

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Takahito Naito. 2013-01-09. String operations on rational Gorenstein spaces. https://arxiv.org/abs/1301.1785

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