Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zeros of holomorphic one-forms and topology of K\"ahler manifolds   A conjecture of Kotschick predicts that a compact K\"ahler manifold $X$
fibres smoothly over the circle if and only if it admits a holomorphic one-form
without zeros. In this paper we develop an approach to this conjecture and
verify it in dimension two. In a joint paper with Hao, we use our approach to
prove Kotschick's conjecture for smooth projective threefolds.

11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc