Calabi–Yau structures on Rabinowitz Fukaya categories
H Bae, W Jeong, J Kim - Journal of Topology, 2024 - Wiley Online Library
In this paper, we prove that the derived Rabinowitz Fukaya category of a Liouville domain
MM of dimension 2 n 2n is (n− 1) (n-1)‐Calabi–Yau, assuming that the wrapped Fukaya …
MM of dimension 2 n 2n is (n− 1) (n-1)‐Calabi–Yau, assuming that the wrapped Fukaya …
Wrapped Fukaya category of plumbings
D Karabas, S Lee - arXiv preprint arXiv:2405.10783, 2024 - arxiv.org
Plumbing spaces have drawn significant attention among symplectic topologists due to their
natural occurrence as examples of Weinstein manifolds. In our paper, we provide a general …
natural occurrence as examples of Weinstein manifolds. In our paper, we provide a general …
Sectorial covers over fanifolds
H Morimura - arXiv preprint arXiv:2310.10084, 2023 - arxiv.org
For the stopped Weinstein sector associated with any fanifold recently introduced by
Gammage--Shende, we construct a Weinstein sectorial cover which allows us to describe …
Gammage--Shende, we construct a Weinstein sectorial cover which allows us to describe …
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 …