arXiv 1002.26702010-02-13math.QAhep-thmath.AT

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

Alastair Hamilton

备注：: 15 pages, 7 figures
DOI：: 10.1007/s11005-011-0507-8

英文摘要：

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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