Locality of relative symplectic cohomology for complete embeddings
Y Groman, U Varolgunes - Compositio Mathematica, 2023 - cambridge.org
A complete embedding is a symplectic embedding are bounded, we deduce the same result
for relative symplectic cohomology. We introduce a technique for constructing complete …
for relative symplectic cohomology. We introduce a technique for constructing complete …
Family Floer mirror space for local SYZ singularities
H Yuan - arXiv preprint arXiv:2206.04652, 2022 - arxiv.org
We give a mathematically precise statement of SYZ conjecture between mirror space pairs
and prove it for any toric Calabi-Yau manifold with Gross's special Lagrangian fibration. To …
and prove it for any toric Calabi-Yau manifold with Gross's special Lagrangian fibration. To …
Family Floer SYZ conjecture for singularity
H Yuan - arXiv preprint arXiv:2305.13554, 2023 - arxiv.org
We resolve a mathematically precise SYZ conjecture for $ A_n $ singularity by building a
quantum-corrected T-duality between two singular torus fibrations related to the Kahler …
quantum-corrected T-duality between two singular torus fibrations related to the Kahler …
Holomorphic discs of negative Maslov index and extended deformations in mirror symmetry
D Auroux - arXiv preprint arXiv:2309.13010, 2023 - arxiv.org
The SYZ approach to mirror symmetry for log Calabi-Yau manifolds starts from a Lagrangian
torus fibration on the complement of an anticanonical divisor. A mirror space is constructed …
torus fibration on the complement of an anticanonical divisor. A mirror space is constructed …
Family Floer SYZ singularities for the conifold transition
H Yuan - arXiv preprint arXiv:2212.13948, 2022 - arxiv.org
We show a mathematically precise version of the SYZ conjecture, proposed in the family
Floer context, for the conifold with a conjectural mirror relation between smoothing and …
Floer context, for the conifold with a conjectural mirror relation between smoothing and …
Scattering diagrams in mirror symmetry
V Fantini - Bollettino dell'Unione Matematica Italiana, 2024 - Springer
Since the pioneering work of Kontsevich and Soibelman (in: The unity of mathematics,
Springer, Berlin, 2006), scattering diagrams have started playing an important role in mirror …
Springer, Berlin, 2006), scattering diagrams have started playing an important role in mirror …
The local Floer cohomology of indicator functions
Y Groman - arXiv preprint arXiv:2307.11659, 2023 - arxiv.org
For a compact set $ K $ with contact type boundary in a symplectic manifold $ M $ we
construct a spectral sequence from the local Floer homology of the Reeb orbits, as studied …
construct a spectral sequence from the local Floer homology of the Reeb orbits, as studied …