A mirror symmetric construction of qHT∗(G/P)(q)

Autor:	Konstanze Rietsch
Rok vydání:	2008
Předmět:	General Mathematics Flag (linear algebra) Mathematics::Algebraic Topology Combinatorics Algebra Mathematics::K-Theory and Homology Simple (abstract algebra) Algebraic group Simply connected space Equivariant map Variety (universal algebra) Quantum Quantum cohomology Mathematics
Zdroj:	Advances in Mathematics. 217:2401-2442
ISSN:	0001-8708
Popis:	Let G be a simple simply connected complex algebraic group. We give a Lie-theoretic construction of a conjectural mirror family associated to a general flag variety G / P , and show that it recovers the Peterson variety presentation for the T -equivariant quantum cohomology rings q H T ∗ ( G / P ) ( q ) with quantum parameters inverted. For SL n / B we relate our construction to the mirror family defined by Givental and its T -equivariant analogue due to Joe and Kim.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::87d19d5a68cf27e6a956b11ac8ab2bb6 https://doi.org/10.1016/j.aim.2007.08.010 Zobrazit plný text záznamu Full Text from ScienceDirect