Homological mirror symmetry for Milnor fibers via moduli of A∞ A_∞‐structures
Y Lekili, K Ueda - Journal of Topology, 2022 - Wiley Online Library
We show that the base spaces of the semiuniversal unfoldings of some weighted
homogeneous singularities can be identified with moduli spaces of A∞ A_∞‐structures on …
homogeneous singularities can be identified with moduli spaces of A∞ A_∞‐structures on …
Categorical Plücker formula and homological projective duality
Q Jiang, NC Leung, Y Xie - Journal of the European Mathematical …, 2021 - ems.press
Kuznetsov's homological projective duality (HPD) theory [K4] is one of the most active and
powerful recent developments in the homological study of algebraic geometry. The …
powerful recent developments in the homological study of algebraic geometry. The …
Homological mirror symmetry for Milnor fibers via moduli of -structures
Y Lekili, K Ueda - arXiv preprint arXiv:1806.04345, 2018 - arxiv.org
We show that the base spaces of the semiuniversal unfoldings of some weighted
homogeneous singularities can be identified with moduli spaces of $ A_\infty $-structures on …
homogeneous singularities can be identified with moduli spaces of $ A_\infty $-structures on …
Automatically generating Fukaya categories and computing quantum cohomology
S Ganatra - arXiv preprint arXiv:1605.07702, 2016 - arxiv.org
Suppose one has found a non-empty sub-category $\mathcal {A} $ of the Fukaya category of
a compact Calabi-Yau manifold $ X $ which is homologically smooth in the sense of non …
a compact Calabi-Yau manifold $ X $ which is homologically smooth in the sense of non …
Versality of the relative Fukaya category
N Sheridan - Geometry & Topology, 2020 - msp.org
Seidel introduced the notion of a Fukaya category “relative to an ample divisor”, explained
that it is a deformation of the Fukaya category of the affine variety that is the complement of …
that it is a deformation of the Fukaya category of the affine variety that is the complement of …
Integrality of mirror maps and arithmetic homological mirror symmetry for Greene--Plesser mirrors
We prove theintegrality of Taylor coefficients of mirror maps' conjecture for Greene--Plesser
mirror pairs as a natural byproduct of an arithmetic refinement of homological mirror …
mirror pairs as a natural byproduct of an arithmetic refinement of homological mirror …
Symplectic topology of 𝐾3 surfaces via mirror symmetry
N Sheridan, I Smith - Journal of the American Mathematical Society, 2020 - ams.org
We study the symplectic topology of certain $ K3 $ surfaces (including the “mirror quartic”
and “mirror double plane”), equipped with certain Kähler forms. In particular, we prove that …
and “mirror double plane”), equipped with certain Kähler forms. In particular, we prove that …
[PDF][PDF] Stability conditions in symplectic topology
I Smith - arXiv preprint arXiv:1711.04263, 2017 - arxiv.org
arXiv:1711.04263v1 [math.SG] 12 Nov 2017 Page 1 arXiv:1711.04263v1 [math.SG] 12 Nov
2017 STABILITY CONDITIONS IN SYMPLECTIC TOPOLOGY IVAN SMITH Abstract. We …
2017 STABILITY CONDITIONS IN SYMPLECTIC TOPOLOGY IVAN SMITH Abstract. We …
Hochschild entropy and categorical entropy
K Kikuta, G Ouchi - Arnold Mathematical Journal, 2023 - Springer
We study the categorical entropy and counterexamples to Gromov–Yomdin type conjecture
via homological mirror symmetry of K3 surfaces established by Sheridan–Smith. We …
via homological mirror symmetry of K3 surfaces established by Sheridan–Smith. We …
Homological mirror symmetry for Batyrev mirror pairs
We prove Kontsevich's homological mirror symmetry conjecture for a large class of mirror
pairs of Calabi--Yau hypersurfaces in toric varieties. These mirror pairs were constructed by …
pairs of Calabi--Yau hypersurfaces in toric varieties. These mirror pairs were constructed by …