Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the extension of a TCFT to the boundary of the moduli space   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.

1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci