Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unobstructed deformations of generalized complex structures induced by
  $C^\infty$ logarithmic symplectic structures and logarithmic Poisson
  structures   We shall introduce the notion of $C^\infty$ logarithmic symplectic structures
on a differentiable manifold which is an analog of the one of logarithmic
symplectic structures in the holomorphic category. We show that the generalized
complex structure induced by a $C^\infty$ logarithmic symplectic structure has
unobstructed deformations which are parametrized by an open set of the second
de Rham cohomology group of the complement of type changing loci if the type
changing loci are smooth. Complex surfaces with smooth effective anti-canonical
divisors admit unobstructed deformations of generalized complex structures such
as del pezzo surfaces and Hirzebruch surfaces. We also give some calculations
of Poisson cohomology groups on these surfaces.
  Generalized complex structures ${\cal J}_m$ on the connected sum $(2k-1)\Bbb
C P^2\# (10k-1)\ol {\Bbb C P^2}$ as in \cite{Cavalcanti_Gualtieri_2006},
\cite{Goto_Hayano} are induced by $C^\infty$ logarithmic symplectic structures
modulo the action of $b$-fields and it turns out that {generalized complex
structure}s ${\cal J}_m$ have unobstructed deformations of dimension
$12k+2m-3$.}

9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol