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- Title
Topological-antitopological fusion and the quantum cohomology of Grassmannians.
- Authors
Guest, Martin A.
- Abstract
We suggest an explanation for the part of the Satake Correspondence which relates the quantum cohomology of complex Grassmannians and the quantum cohomology of complex projective space, as well as their respective Stokes data, based on the original physics approach using the tt* equations. We also use the Stokes data of the tt* equations to provide a Lie-theoretic link between particles in affine Toda models and solitons in certain sigma-models. Along the way, we review some old ideas from supersymmetric field theory, whose mathematical manifestations are becoming increasingly widespread.
- Subjects
GRASSMANN manifolds; PROJECTIVE spaces; STOKES equations; SOLITONS; AFFINAL relatives
- Publication
Japanese Journal of Mathematics, 2021, Vol 16, Issue 1, p155
- ISSN
0289-2316
- Publication type
Article
- DOI
10.1007/s11537-020-2036-7