Equivariant quantum differential equation, Stokes bases, and K-theory for a projective space

Autor:	Alexander Varchenko, Vitaly Tarasov
Rok vydání:	2021
Předmět:	Tangent bundle Pure mathematics Regular singular point Differential equation General Mathematics Projective space Equivariant map Algebraic geometry Singular point of a curve K-theory Mathematics::Symplectic Geometry Mathematics
Zdroj:	European Journal of Mathematics. 7:706-728
ISSN:	2199-6768 2199-675X
Popis:	We consider the equivariant quantum differential equation for the projective space $$P^{n-1}$$ and introduce a compatible system of difference equations. We prove an equivariant gamma theorem for $$P^{n-1}$$ , which describes the asymptotics of the differential equation at its regular singular point in terms of the equivariant characteristic gamma class of the tangent bundle of $$P^{n-1}$$ . We describe the Stokes bases of the differential equation at its irregular singular point in terms of the exceptional bases of the equivariant K-theory algebra of $$P^{n-1}$$ and a suitable braid group action on the set of exceptional bases. Our results are an equivariant version of the well-known results of Dubrovin and Guzzetti..
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a0329aee7c8206ed5d245beb1d6ff9ed https://doi.org/10.1007/s40879-021-00455-y Zobrazit plný text záznamu Full text from SpringerLink