Gromov-witten theory and mirror symmetry
WebThe origins of mirror symmetry; overview of the course 2 Deformations of complex structures 3 Deformations continued, Hodge theory; pseudoholomorphic curves, … WebOpen Gromov-Witten invariants, mirror symmetry, topological recursion. 1. 2 BOHAN FANG, CHIU-CHU MELISSA LIU, AND ZHENGYU ZONG conjecture on FQ ... Later, the mathematical definition of orbifold Gromov-Witten theory and quantum cohomology was laid by Chen-Ruan [19] in the symplectic setting and Abramovich-Graber-Vistoli [2, 3] in …
Gromov-witten theory and mirror symmetry
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WebAug 1, 2024 · We will solve this problem by extending mathematical Mirror Symmetry to cover this case. In doing so we will draw on and make rigorous recent insights from … Webstance “superconformal field theory” means that the theory depends only on the conformal structure on Σ rather than the Riemannian structure. There are vari ous flavors of these theories, but the ones more relevant to mirror symmetry are the nonlinear sigma-models (the “target space”) is a Calabi-Yau manifold. Definition 1.
Webon “Homological Mirror Symmetry”, 2024. Video available at the:workshop’s website. ⋄ “Log geometric techniques for open invariants in mirror symmetry” at the Simons Center, 2016. Video available at:Stony-Brook video portal ⋄ “Log geometric techniques for open invariants in mirror symmetry”, at the IAS WebYau manifold is such a moduli space and they argue that the mirror symmetry duality is a Fourier-Mukai transformation. We review various aspects of the mirror symmetry conjecture and discuss a geometric ap-proach in proving it. The existence of rigid Calabi-Yau manifolds poses a serious challenge
WebMirror symmetry was introduced in physics as a special duality between two N= 2 superconformal field theories. Traditionally a N= 2 superconformal field theory is constructed as a quantization of a non-linear σ-model with target a com-pact Calabi-Yau manifold equipped with a Ricci-flat Kahler metric and a closed 2-form - the so called B … WebFeb 2, 2024 · As a physicist, my understanding of mirror symmetry is very limited, and perhaps the most "mathematical" literature I have read on mirror symmetry is the book …
WebHomological Mirror Symmetry is the area of mathematics concentrated around several categorical equivalences connecting symplectic and holomorphic (or algebraic) geometry. The central ideas first appeared in the work of Maxim Kontsevich (1993).
Webpredictions of the mirror symmetry are verified for rational curves of all degrees. The results of Sections 9 – 11 can be immediately carried over to complete intersections ... The Gromov-Witten theory borrows from the quantum field theory the name (quantum) correlators for numerical topological characteristics of the moduli spaces Xn,d ... flights and hotels to nolaWebGromov-Witten theory Among topological quantum eld theories studied in the past decades, Gromov-Witten theory has enjoyed continued interest. It associates to a compact symplectic manifold X a space of states H(X). Correlators assigned to surfaces with points labeled by states count the pseudo-holomorphic maps to X with incidence conditions. flights and hotels treasure islandWebFeb 3, 2024 · Mirror symmetry in 2 dimensions turns out to extremely enligntening in the study of algebraic geometry, symplectic geometry, and representation theory. In particular, originated from the 2d topological string theory, the Gromov{Witten theory has an intimate connection with 2d mirror symmetry; for an introduction, see [8, 24]. chemotherapy joint painWebAbstract. This expository article explores the connection between the polar duality from polyhedral geometry and mirror symmetry from mathematical physics and algebraic geometry. Topics discussed include duality of polytopes and cones as well as the famous quintic threefold and the toric variety of a reflexive polytope. flights and hotels to marrakechWebsuperpotential written down by using the toric mirror map under a convergence assumption. This gives a method to compute open Gromov-Witten invariants using mirror … chemotherapy kidneyWebImage from Lewis Carroll's Through the Looking-Glass, which captures some of the strangeness of mirror symmetry. This is the webpage for a learning seminar on … flights and hotels to vegas round tripWebin Gromov-Witten theory, or more generally, in topological string theory, the Laplace transform has an interpretation as mirror symmetry. More precisely, the A-model and B-model are two different approaches to studying the geometry of Calabi-Yau manifolds in topological string theory. They are related through mir-ror symmetry. flights and hotels to miami fl