Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the homological mirror symmetry conjecture for pairs of pants   The n-dimensional pair of pants is defined to be the complement of n+2
generic hyperplanes in CP^n. We construct an immersed Lagrangian sphere in the
pair of pants and compute its endomorphism A_{\infty} algebra in the Fukaya
category. On the level of cohomology, it is an exterior algebra with n+2
generators. It is not formal, and we compute certain higher products in order
to determine it up to quasi-isomorphism. This allows us to give some evidence
for the homological mirror symmetry conjecture: the pair of pants is
conjectured to be mirror to the Landau-Ginzburg model (C^{n+2},W), where W =
z_1 ... z_{n+2}. We show that the endomorphism A_{\infty} algebra of our
Lagrangian is quasi-isomorphic to the endomorphism dg algebra of the structure
sheaf of the origin in the mirror. This implies similar results for finite
covers of the pair of pants, in particular for certain affine Fermat
hypersurfaces.

4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga