Simplicial descent for Chekanov–Eliashberg dg‐algebras
J Asplund - Journal of Topology, 2023 - Wiley Online Library
We introduce a type of surgery decomposition of Weinstein manifolds that we call simplicial
decompositions. The main result of this paper is that the Chekanov–Eliashberg dg‐algebra …
decompositions. The main result of this paper is that the Chekanov–Eliashberg dg‐algebra …
Tangle contact homology
J Asplund - International Journal of Mathematics, 2024 - World Scientific
Knot contact homology is an ambient isotopy invariant of knots and links in ℝ 3. The purpose
of this paper is to extend this definition to an ambient isotopy invariant of tangles and prove …
of this paper is to extend this definition to an ambient isotopy invariant of tangles and prove …
Singular Legendrian unknot links and relative Ginzburg algebras
J Asplund - arXiv preprint arXiv:2311.03330, 2023 - arxiv.org
We associate to a quiver and a subquiver $(Q, F) $ a stopped Weinstein manifold $ X $
whose Legendrian attaching link is a singular Legendrian unknot link $\varLambda $. We …
whose Legendrian attaching link is a singular Legendrian unknot link $\varLambda $. We …
Sutured contact homology, conormal stops and hyperbolic knots
C Dattin - arXiv preprint arXiv:2206.07782, 2022 - arxiv.org
We apply the conormal construction to a hyperbolic knot $ K\subset S^ 3$, and study the
sutured contact manifold $(V,\xi) $ obtained by taking the complement of a standard …
sutured contact manifold $(V,\xi) $ obtained by taking the complement of a standard …