Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Dehn functions of K\"ahler groups   We address the problem of which functions can arise as Dehn functions of
K\"ahler groups. We explain why there are examples of K\"ahler groups with
linear, quadratic, and exponential Dehn function. We then proceed to show that
there is an example of a K\"ahler group which has Dehn function bounded below
by a cubic function and above by $n^6$. As a consequence we obtain that for a
compact K\"ahler manifold having non-positive holomorphic bisectional curvature
does not imply having quadratic Dehn function.

20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con