Quantum cohomology of minuscule homogeneous spaces

Details Quantum cohomology of minuscule homogeneous spaces Quantum cohomology of minuscule homogeneous spaces

2006-07-20

arxiv.org/abs/math/0607492v2

Transformation Groups 13, 1 (2008) 47-89

Mathematics

Algebraic Geometry

33 pages

Scientific paper

We study the quantum cohomology of (co)minuscule homogeneous varieties under a unified perspective. We show that three points Gromov-Witten invariants can always be interpreted as classical intersection numbers on auxiliary varieties. Our main combinatorial tools are certain quivers, in terms of which we obtain a quantum Chevalley formula and a higher quantum Poincar\'{e} duality. In particular we compute the quantum cohomology of the two exceptional minuscule homogeneous varieties.

Affiliated with

Also associated with

No associations

Rating

Quantum cohomology of minuscule homogeneous spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantum cohomology of minuscule homogeneous spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum cohomology of minuscule homogeneous spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-79715