Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Antisymplectic involutions of holomorphic symplectic manifolds   Let X be a holomorphic symplectic manifold, of dimension divisible by 4, and
s an antisymplectic involution of X . The fixed locus F of s is a Lagrangian
submanifold of X ; we show that its \^A-genus is 1. As an application, we
determine all possibilities for the Chern numbers of F when X is a deformation
of the Hilbert square of a K3 surface.

29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg