Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On homological mirror symmetry for chain type polynomials   We consider Takahashi's categorical interpretation of the Berglund-Hubsch
mirror symmetry conjecture for invertible polynomials in the case of chain
polynomials. Our strategy is based on a stronger claim that the relevant
categories satisfy a recursion of directed $A_{\infty}$-categories, which may
be of independent interest. We give a full proof of this claim on the B-side.
On the A-side we give a detailed sketch of an argument, which falls short of a
full proof because of certain missing foundational results in Fukaya-Seidel
categories, most notably a generation statement.

11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin