Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Counting zeros of closed 1-forms   The paper suggests new topological lower bounds for the number of zeros of
closed 1-forms within a given cohomology class. The main new technical tool is
the deformation complex, which allows to pass to a singular limit and reduce
the original problem with a closed 1-form to a traditional problem with a Morse
function. We show by examples that the suggested approach may provide stronger
estimates than the Novikov inequalities. The technique of the paper also
applies to study topology of the set of zeros of closed 1-forms under Bott
non-degeneracy assumptions.

23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs