Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Categorical Chern character and braid groups   To a braid $\beta\in Br_n$ we associate a complex of sheaves $S_\beta$ on
$Hilb_n(C^2)$ such that the previously defined triply graded link homology of
the closure $L(\beta)$ is isomorphic to the homology of $S_\beta$.
  The construction of $S_\beta$ relies on the Chern functor
  $CH: MF_n^{st}\to D^{per}_{C^*\times C^*}(Hilb_n(C^2))$ defined in the paper
together with its adjoint functor
  $HC$. The properties of these functors lead us to a conjecture that $HC$
sends
  $D^{per}_{C^*\times C^*}(Hilb_n(C^2))$
  to the Drinfeld center of $MF_n^{st}$. Modulo an explicit parity conjecture
for $CH$, we prove a
  formula for the closure of sufficiently positive elements of the Jucys-Murphy
algebra previously conjectured
  by Gorsky, Negut and Rasmussen.

28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
3
The categories of this paper are: physics
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas