Equivariant quantum differential equation, Stokes bases, and K-theory for a projective space
نویسندگان
چکیده
We consider the equivariant quantum differential equation for projective space $$P^{n-1}$$ and introduce a compatible system of difference equations. prove an gamma theorem , which describes asymptotics at its regular singular point in terms characteristic class tangent bundle . describe Stokes bases irregular exceptional K-theory algebra suitable braid group action on set bases. Our results are version well-known Dubrovin Guzzetti..
منابع مشابه
Bases in Equivariant K - Theory
In this paper we establish a connection between the \bases" in
متن کاملBases in Equivariant K-theory. Ii
In this paper we establish a connection between the “bases” in Bases in equivariant K-theory, Represent. Theory 2 (1999), 298-369 and the periodic W -graphs introduced in Periodic W -graphs, Represent. Theory 1 (1997), 207–279.
متن کاملPermutation - Equivariant Quantum K - Theory
K-theoretic Gromov-Witten (GW) invariants of a complex algebraic manifold X are defined as super-dimensions of sheaf cohomology of interesting bundles over moduli spaces of n-pointed holomorphic curves in X. In this paper, we introduce K-theoretic GW-invariants cognizant of the Sn-module structure on the sheaf cohomology, induced by renumbering of the marked points, and compute such invariants ...
متن کاملPoincaré Duality for K-theory of Equivariant Complex Projective Spaces
We make explicit Poincaré duality for the equivariant K-theory of equivariant complex projective spaces. The case of the trivial group provides a new approach to the K-theory orientation [3].
متن کاملA Construction of a Frobenius Manifold from the Quantum Differential Equation of a Weighted Projective Space
Starting from the quantum differential equation associated to a weighted projective space, which is given by Coates, Corti, Lee and Tseng, we construct a Frobenius manifold. We see that the Frobenius manifold coincides with the big quantum cohomology of the weighted projective space. The construction is based on Dubrovin’s reconstruction theorem.
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: European journal of mathematics
سال: 2021
ISSN: ['2199-675X', '2199-6768']
DOI: https://doi.org/10.1007/s40879-021-00455-y