Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the abstract Bogomolov-Tian-Todorov Theorem   We describe an abstract version of the Theorem of Bogomolov-Tian-Todorov,
whose underlying idea is already contained in various papers by Bandiera,
Fiorenza, Iacono, Manetti. More explicitly, we prove an algebraic criterion for
a differential graded Lie algebras to be homotopy abelian. Then, we collect
together many examples and applications in deformation theory and other
settings.

32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph