Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global anomaly and a family of structures on fold product of complex
  two-cycles   We propose a new set of IIB type and eleven-dimensional supergravity
solutions which consists of the $n$-fold product of two-spaces ${\bf
H}^n/\Gamma$ (where ${\bf H}^n$ denotes the product of $n$ upper half-planes
$H^2$ equipped with the co-compact action of $\Gamma \subset SL(2, {\mathbb
R})^n$) and $({\bf H}^n)^*/\Gamma$ (where $(H^2)^* = H^2\cup \{{\rm cusp of}
\Gamma\}$ and $\Gamma$ is a congruence subgroup of $SL(2, {\mathbb R})^n$). The
Freed-Witten global anomaly condition have been analyzed. We argue that the
torsion part of the cuspidal cohomology involves in the global anomaly
condition. Infinitisimal deformations of generalized complex (and K\"ahler)
structures also has been analyzed and stability theorem in the case of a
discrete subgroup of $SL(2, {\mathbb R})^n$ with the compact quotient ${\bf
H}^n/\Gamma$ was verified.

26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg