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- W2952631608 abstract "We give a proof of a result of D. Peterson's identifying the quantum cohomology ring of a Grassmannian with the reduced coordinate ring of a certain subvariety of $GL_n$. The totally positive part of this subvariety is then constructed and we give closed formulas for the values of the Schubert basis elements on the totally positive points. We then use the developed methods to give a new proof of a formula of Vafa and Intriligator and Bertram for the structure constants (Gromov--Witten invariants). Finally, we use the positivity of these Gromov--Witten invariants to prove certain inequalities for Schur polynomials at roots of unity." @default.
- W2952631608 created "2019-06-27" @default.
- W2952631608 creator A5029482516 @default.
- W2952631608 date "2001-12-03" @default.
- W2952631608 modified "2023-09-27" @default.
- W2952631608 title "Quantum Cohomology of Grassmannians and Total Positivity" @default.
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