Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A generalization of Rasmussen's invariant, with applications to surfaces
  in some four-manifolds   We extend the definition of Khovanov-Lee homology to links in connected sums
of $S^1 \times S^2$'s, and construct a Rasmussen-type invariant for
null-homologous links in these manifolds. For certain links in $S^1 \times
S^2$, we compute the invariant by reinterpreting it in terms of Hochschild
homology. As applications, we prove inequalities relating the Rasmussen-type
invariant to the genus of surfaces with boundary in the following
four-manifolds: $B^2 \times S^2$, $S^1 \times B^3$, $\mathbb{CP}^2$, and
various connected sums and boundary sums of these. We deduce that Rasmussen's
invariant also gives genus bounds for surfaces inside homotopy 4-balls obtained
from $B^4$ by Gluck twists. Therefore, it cannot be used to prove that such
homotopy 4-balls are non-standard.

9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg