Gromov-witten theory and mirror symmetry
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 WebThe origins of mirror symmetry; overview of the course 2 Deformations of complex structures 3 Deformations continued, Hodge theory; pseudoholomorphic curves, transversality 4 Pseudoholomorphic curves, compactness, Gromov-Witten invariants 5 Quantum cohomology and Yukawa coupling on H 1,1; Kähler moduli space 6
Gromov-witten theory and mirror symmetry
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WebGromov-Witten theory Among topological quantum eld theories studied in past decades, Gromov-Witten theory in 2D has enjoyed enduring interest. This associates 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. WebApr 13, 2024 · This is a sequel of our previous work. 35 35. Wang, Z. and Yang, C., “ Diagonal tau-functions of 2D Toda lattice hierarchy, connected (n, m)-point functions, and double Hurwitz numbers,” arXiv:2210.08712 (2024). In that paper, we have derived an explicit formula for connected (n, m)-point functions of diagonal tau-functions of the 2D …
WebOct 31, 2024 · A mirror theorem for Gromov-Witten theory without convexity. We prove a genus zero Givental-style mirror theorem for all complete intersections in proper toric … WebA MIRROR THEOREM FOR GROMOV-WITTEN THEORY WITHOUT CONVEXITY JUN WANG Abstract. We prove a genus zero Givental-style mirror theorem for all complete …
WebGromov-Witten Theory Image 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 Gromov-Witten theory and related topics, including the moduli space of stable maps, the virtual fundamental class, and quantum cohomology. WebImage 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 …
Webto construct a canonical basis of functions on a cluster variety in terms of the log Gromov-Witten theory of the mirror cluster variety. Contents 1. Log geometry 1 2. Log and tropical Gromov-Witten theory 5 3. Cluster varieties 7 References 11 These are the notes for the author’s mini-course presented at the workshop \Valuations and bira-
WebAbstract. 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. dogezilla tokenomicsWebY.-P. Lee: Functoriality in Gromov-Witten theory. Abstract: I will discuss the functoriality problem in Gromov–Witten theory, and explain a series of results in this context, … dog face kaomojiWebOpen 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 … doget sinja goricaWebMirror 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 … dog face on pj'sWebJul 4, 2014 · The goal of these notes is to provide an informal introduction to Gromov-Witten theory with an emphasis on its role in counting curves in surfaces. These notes … dog face emoji pngWebsuperpotential written down by using the toric mirror map under a convergence assumption. This gives a method to compute open Gromov-Witten invariants using mirror … dog face makeupWebJan 10, 2016 · In this post, I will begin the first part of a study of the cohomological-Dubrovin connection in the context of mirror-symmetry for Calabi-Yau Gromov–Witten theory. In particular, I will derive two propositions about quantum cohomology. In my last three posts, I finally derived, after studying the Witten Equation as well as the Landau ... dog face jedi