Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the real homotopy type of generalized complex nilmanifolds   We prove that for any $n\geq 4$ there are infinitely many real homotopy types
of $2n$-dimensional nilmanifolds admitting generalized complex structures of
every type $k$, for $0 \leq k \leq n$. This is in deep contrast to the
$6$-dimensional case.

20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg