MOTIVIC L-FUNCTION IDENTITIES FROM CFT AND ARITHMETIC MIRROR SYMMETRY
نویسندگان
چکیده
منابع مشابه
Log Mirror Symmetry and Local Mirror Symmetry
We study Mirror Symmetry of log Calabi-Yau surfaces. On one hand, we consider the number of “affine lines” of each degree in P\B, where B is a smooth cubic. On the other hand, we consider coefficients of a certain expansion of a function obtained from the integrals of dx/x ∧ dy/y over 2chains whose boundaries lie on Bφ, where {Bφ} is a family of smooth cubics. Then, for small degrees, they coin...
متن کاملMembrane instantons from mirror symmetry
We use mirror symmetry to determine and sum up a class of membrane instanton corrections to the hypermultiplet moduli space metric arising in Calabi–Yau threefold compactifications of type IIA strings. These corrections are mirror to the D1 and D(−1)–brane instantons on the IIB side and are given explicitly in terms of a single function in projective superspace. The corresponding four-dimension...
متن کاملMotives and Motivic L-functions
This report aims to be an exposition of the theory of L-functions from the motivic point of view. The classical theory of pure motives provides a category consisting of ‘universal cohomology theories’ for smooth projective varieties defined over – for instance – number fields. Attached to every motive we can define a function which is holomorphic on a subdomain of C which at least conjecturally...
متن کاملPartition Identities Arising from Theta Function Identities
The authors show that certain theta function identities of Schröter and Ramanujan imply elegant partition identities.
متن کاملLectures on Mirror Symmetry, Derived Categories, and D-branes 1. Mirror Symmetry from a Physical Viewpoint
This is an introduction to Homological Mirror Symmetry, derived categories, and topological D-branes aimed at a mathematical audience. In the last lecture we explain why it is necessary to enlarge the Fukaya category with coisotropic A-branes and discuss how to extend the definition of Floer homology to such objects. These lectures were delivered at IPAM, March 2003, as part of a program on Sym...
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: Modern Physics Letters A
سال: 2013
ISSN: 0217-7323,1793-6632
DOI: 10.1142/s0217732313501678