A mirror symmetric construction of qHT∗(G/P)(q)
By K. Rietsch. 2005
91 citations recorded by the source corpus.
Abstract 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.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/497a43313419aaaa0853275882d09c7eec58e169
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Geometry of canonical bases and mirror symmetry (2013, background): “ of the D~-module QH ∗ H L(BL). Proof. i) It is proved in Section 3.2. ii) Since integral (63) provides an integral presentation for the Whittaker function, it is equivalent to the results of [GLO1], [R1]. Observe that the parameter a∈H(C) is interpreted as the parameter on H2(BL,C∗), which is the b”