Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Elements of spin Hurwitz theory: closed algebraic formulas, blobbed
  topological recursion, and a proof of the Giacchetto-Kramer-Lewanski
  conjecture   In this paper, we discuss the properties of the generating functions of spin
Hurwitz numbers. In particular, for spin Hurwitz numbers with arbitrary
ramification profiles, we construct the weighed sums which are given by Orlov's
hypergeometric solutions of the 2-component BKP hierarchy. We derive the closed
algebraic formulas for the correlation functions associated with these
tau-functions, and under reasonable analytical assumptions we prove the loop
equations (the blobbed topological recursion). Finally, we prove a version of
topological recursion for the spin Hurwitz numbers with the spin completed
cycles (a generalized version of the Giacchetto--Kramer--Lewa\'nski
conjecture).

24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat