Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fiber Floer cohomology and conormal stops   Let $S$ be a closed orientable spin manifold. Let $K \subset S$ be a
submanifold and denote its complement by $M_K$. In this paper we prove that
there exists an isomorphism between partially wrapped Floer cochains of a
cotangent fiber stopped by the unit conormal $\varLambda_K$ and chains of a
Morse theoretic model of the based loop space of $M_K$, which intertwines the
$A_\infty$-structure with the Pontryagin product. As an application, we
restrict to codimension 2 spheres $K \subset S^n$ where $n = 5$ or $n\geq 7$.
Then we show that there is a family of knots $K$ so that the partially wrapped
Floer cohomology of a cotangent fiber is related to the Alexander invariant of
$K$. A consequence of this relation is that the link $\varLambda_K \cup
\varLambda_x$ is not Legendrian isotopic to $\varLambda_{\mathrm{unknot}} \cup
\varLambda_x$ where $x\in M_K$.

25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph