Superheavy skeleta for non-normal crossings divisors
E Gathercole - arXiv preprint arXiv:2408.13187, 2024 - arxiv.org
Given an anticanonical divisor in a projective variety, one naturally obtains a monotone K\"
ahler manifold. In this paper, for divisors in a certain class (larger than normal crossings), we …
ahler manifold. In this paper, for divisors in a certain class (larger than normal crossings), we …
Symplectic topology and ideal-valued measures
A Dickstein, Y Ganor, L Polterovich, F Zapolsky - Selecta Mathematica, 2024 - Springer
We adapt Gromov's notion of ideal-valued measures to symplectic topology, and use it for
proving new results on symplectic rigidity and symplectic intersections. Furthermore, it …
proving new results on symplectic rigidity and symplectic intersections. Furthermore, it …
On the spectral capacity of submanifolds
D Cant, J Zhang - arXiv preprint arXiv:2409.14142, 2024 - arxiv.org
The infimum of the spectral capacities of neighbourhoods of a nowhere coisotropic
submanifold is shown to be zero. In contrast, neighbourhoods of a closed Lagrangian …
submanifold is shown to be zero. In contrast, neighbourhoods of a closed Lagrangian …
Heavy subsets from microsupports
T Asano - arXiv preprint arXiv:2404.15556, 2024 - arxiv.org
arXiv:2404.15556v1 [math.SG] 23 Apr 2024 Page 1 arXiv:2404.15556v1 [math.SG] 23 Apr
2024 Heavy subsets from microsupports Tomohiro Asano April 25, 2024 Abstract We construct …
2024 Heavy subsets from microsupports Tomohiro Asano April 25, 2024 Abstract We construct …
Descent with algebraic structures for symplectic cohomology
U Varolgunes - arXiv preprint arXiv:2311.15934, 2023 - arxiv.org
We formulate and prove a chain level descent property of symplectic cohomology for
involutive covers by compact subsets that take into account the natural algebraic structures …
involutive covers by compact subsets that take into account the natural algebraic structures …
Spectral diameter of negatively monotone manifolds
Y Sun - arXiv preprint arXiv:2410.21416, 2024 - arxiv.org
For a closed negatively monotone symplectic manifold, we construct quasi-isometric
embeddings from the Euclidean spaces to its Hamiltonian diffeomorphism group, assuming …
embeddings from the Euclidean spaces to its Hamiltonian diffeomorphism group, assuming …
-equivariant relative symplectic cohomology and relative symplectic capacities
J Ahn - arXiv preprint arXiv:2410.01977, 2024 - arxiv.org
In this paper, we construct an $ S^ 1$-equivariant version of the relative symplectic
cohomology developed by Varolgunes. As an application, we construct a relative version of …
cohomology developed by Varolgunes. As an application, we construct a relative version of …
Constraints on symplectic quasi-states
A Dickstein, F Zapolsky - arXiv preprint arXiv:2407.08014, 2024 - arxiv.org
We prove that given a closed connected symplectic manifold equipped with a Borel
probability measure, an arbitrarily large portion of the measure can be covered by a …
probability measure, an arbitrarily large portion of the measure can be covered by a …
Heavy sets and index bounded relative symplectic cohomology
Y Sun - Journal of Fixed Point Theory and Applications, 2024 - Springer
We use relative symplectic cohomology to detect heavy sets, with the help of index bounded
contact forms. This establishes a relation between two notions SH-heaviness and …
contact forms. This establishes a relation between two notions SH-heaviness and …