Topological recursion and geometry
نویسندگان
چکیده
منابع مشابه
Stanford Algebraic Geometry — Seminar — TOPOLOGICAL RECURSION RELATIONS BY LOCALIZATION
If a manifold possesses a group action, one can say much about its topology by using equivariant cohomolgy. In particular, the Atiyah-Bott localization formula allows one to derive facts about the manifold’s global properties from knowledge of its fixed loci. Localization has proved to be one of the most important techniques in Gromov-Witten theory. In this case, one studies maps of algebraic c...
متن کاملTopological recursion and mirror curves
We study the constant contributions to the free energies obtained through the topological recursion applied to the complex curves mirror to toric Calabi-Yau threefolds. We show that the recursion reproduces precisely the corresponding Gromov-Witten invariants, which can be encoded in powers of the MacMahon function. As a result, we extend the scope of the “remodeling conjecture” to the full fre...
متن کاملQuantum Curves and Topological Recursion
This is a survey article describing the relationship between quantum curves and topological recursion. A quantum curve is a Schrödinger operator-like noncommutative analogue of a plane curve which encodes (quantum) enumerative invariants in a new and interesting way. The Schrödinger operator annihilates a wave function which can be constructed using the WKB method, and conjecturally constructed...
متن کاملRecursion in Curve Geometry
Recursion schemes are familiar in the theory of soliton equations, e.g., in the discussion of infinite hierarchies of conservation laws for such equations. Here we develop a variety of special topics related to curves and curve evolution in two and three-dimensional Euclidean space, with recursion as a unifying theme. The interplay between curve geometry and soliton theory is highlighted.
متن کاملRecursion Relations in Semirigid Topological Gravity
A field theoretical realization of topological gravity is discussed in the semirigid geometry context. In particular, its topological nature is given by the relation between deRham cohomology and equivariant BRST cohomology and the fact that all but one of the physical operators are BRST-exact. The puncture equation and the dilaton equation of pure topological gravity are reproduced, following ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Reviews in Mathematical Physics
سال: 2020
ISSN: 0129-055X,1793-6659
DOI: 10.1142/s0129055x20300071