Twisted motivic Chern class and stable envelopes

Autor:	Andrzej Weber, Jakub Koncki
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Mathematics - Algebraic Geometry Mathematics::Algebraic Geometry General Mathematics Mathematics - K-Theory and Homology FOS: Mathematics K-Theory and Homology (math.KT) Representation Theory (math.RT) Algebraic Geometry (math.AG) Mathematics - Representation Theory
Popis:	We present a definition of {\em twisted motivic Chern classes} for singular pairs $(X,\Delta)$ consisting of a singular space $X$ and a $\mathbb Q$-Cartier divisor containing the singularities of $X$. The definition is a mixture of the construction of motivic Chern classes previously defined by Brasselet-Sch{\"u}rmann-Yokura with the construction of multiplier ideals. The twisted motivic Chern classes are the limits of the elliptic classes defined by Borisov-Libgober. We show that with a suitable choice of the divisor $\Delta$ the twisted motivic Chern classes satisfy the axioms of the stable envelopes in the K-theory. Our construction is an extension of the results proven by the first author for the fundamental slope. Comment: to appear in Advances in Mathematics
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::42381dae29bf63c47c64cfa179ff6a5f http://arxiv.org/abs/2101.12515 Zobrazit plný text záznamu