논문KCI 등재
Ring isomorphisms between closed strings via homological mirror symmetry
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
We investigate how closed string mirror symmetry is related to homological mirror symmetry, under the presence of an explicit geometric mirror functor.
Abstract
We investigate how closed string mirror symmetry is related to homological mirror symmetry, under the presence of an explicit geometric mirror functor.
참고문헌 (16)
- L. Amorim, "Big quantum cohomology of orbifold spheres", arXiv:2002.11080, ~
- V. V. Batyrev, "Quantum cohomology rings of toric manifolds", Astérisque, (218), pp.9~34 (1993)
- C.-H. Cho, "Localized mirror functor for Lagrangian immersions, and homological mirror symmetry for P1 a,b,c", J. Differential Geom, 106(1), pp.45~126 (2017)
- C. -H. Cho, "Localized mirror functor constructed from a La-grangian torus", J. Geom. Phys, 136, pp.284~320 (2019)[DOI]
- T. Dyckerhoff, "Compact generators in categories of matrix factorizations", Duke Math. J, 159(2), pp.223~274 (2011)[DOI]
- J. D. Evans, "Generating the Fukaya categories of Hamiltonian G-manifolds", J. Amer. Math. Soc, 32(1), pp.119~162 (2019)[DOI]
- K. Fukaya, "Lagrangian intersection Floer theory: anomaly and obstruction. Part I" (2009), American Mathematical Society
- K. Fukaya, "Lagrangian Floer theory on compact toric manifolds II: bulk deformations", Selecta Math. (N.S.), 17(3), pp.609~711 (2011)[DOI]
- K. Fukaya, "Lagrangian Floer theory and mirror symmetry on compact toric manifolds", Astérisque, (376), pp.6~340 (2016)
- S. Ganatra, "Symplectic cohomology and duality for the wrapped Fukaya category", Ph.D, pp.2012
- E. Getzler, "Quantum deformations of algebras and their representations", pp.65~78 (1993), Bar-Ilan Univ
- A. B. Givental, "Homological geometry and mirror symmetry", Proceedings of the International Congress of Mathematicians, 1, 2, pp.472~480 (1995), Birkhäuser
- H. Iritani, "An integral structure in quantum cohomology and mirror symmetry for toric orbifolds", Adv. Math, 222(3), pp.1016~1079 (2009)[DOI]
- E. Segal, "The closed state space of affine Landau-Ginzburg B-models", J. Noncommut. Geom, 7(3), pp.857~883 (2013)[DOI]
- P. Seidel, "Fukaya categories and Picard-Lefschetz theory, Zurich Lectures in Advanced Mathematics" (2008), European Mathematical Society
- N. Sheridan, "Formulae in noncommutative Hodge theory", J. Homotopy Relat. Struct, 15(1), pp.249~299 (2020)[DOI]
관련 논문AI추천
A Topological Mirror Symmetry on Noncommutative Complex Two-tori김은상, 김호일대한수학회 · 대한수학회지2006 · 제43권 제5호Comparison of mirror functors of elliptic curves via LG/CY correspondenceSangwook Lee대한수학회 · 대한수학회지2020 · 제57권 제5호Symmetry of the twisted Gromov-Witten classes of projective line노현호대한수학회 · 대한수학회지2023 · 제60권 제3호Twists of supersymmetric Yang--Mills theory in topological string theory유필상대한수학회 · 대한수학회지2025 · 제62권 제6호Explicit equations for mirror families to log Calabi-Yau surfacesLawrence Jack Barrott대한수학회 · 대한수학회보2020 · 제57권 제1호Equivariant matrix factorizations and Hamiltonian reductionSergey Arkhipov, Tina Kanstrup대한수학회 · 대한수학회보2017 · 제54권 제5호
이 간행물의 다른 논문 (11건)
Margin-based generalization for classifications with input noise고하영, 최희준, 이지민pp. 217-233Hardy type estimates for Riesz transforms associated with Schr\"{o}dinger operators on the Heisenberg groupChunfang Gaopp. 235-254Generalized Killing structure Jacobi operator for real hypersurfaces in complex hyperbolic two-plane Grassmannians서영진, 이현진, 우창화pp. 255-278Moment estimate and existence for the solution of neutral stochastic functional differential equationHuabin Chen, Qunjia Wanpp. 279-298Green's additive complement problem for $k$-th powersLi-Yuan Wang, Yuchen Dingpp. 299-309
