Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivariant Chern numbers and the number of fixed points for unitary
  torus manifolds   Let $M^{2n}$ be a unitary torus $(2n)$-manifold, i.e., a $(2n)$-dimensional
oriented stable complex connected closed $T^n$-manifold having a nonempty fixed
set. In this paper we show that $M$ bounds equivariantly if and only if the
equivariant Chern numbers $< (c_1^{T^n})^i(c_2^{T^n})^j, [M]>=0$ for all $i,
j\in {\Bbb N}$, where $c_l^{T^n}$ denotes the $l$th equivariant Chern class of
$M$. As a consequence, we also show that if $M$ does not bound equivariantly
then the number of fixed points is at least $\lceil{n\over2}\rceil+1$.

13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th