Annals of Combinatorics 4 (2000) 299-305

From Quantum Cohomology to Algebraic Combinatorics: The Example of Flag Manifolds

Rudolf Winkel

Institut für Reine und Angewandte Mathematik, RWTH Aachen, D-52056 Aachen, Germany

Received February 16, 1999

AMS Subject Classification: 14M15, 05E15, 14N10

Abstract. The computation and understanding of quantum cohomology is a very hard problem in mathematical physics (string theory). We review in non-technical terms how, in the case of the flag manifolds, this problem can turn out to be at its core a non-trivial problem in algebraic combinatorics.

Keywords: quantum cohomology, flag manifold, Schubert poynomial, elementary symmetric polynomial, standard elementary monomial


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