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arXiv · 1002.2670

On the extension of a TCFT to the boundary of the moduli space

Alastair Hamilton
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Abstract

The purpose of this paper is to describe an analogue of a construction of Costello in the context of finite-dimensional differential graded Frobenius algebras which produces closed forms on the decorated moduli space of Riemann surfaces. We show that this construction extends to a certain natural compactification of the moduli space which is associated to the modular closure of the associative operad, due to the absence of ultra-violet divergences in the finite-dimensional case. We demonstrate that this construction is equivalent to the "dual construction" of Kontsevich.

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Alastair Hamilton. 2010-02-13. On the extension of a TCFT to the boundary of the moduli space. https://doi.org/10.1007/s11005-011-0507-8

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