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Giambelli formulae for the equivariant quantum cohomology of the Grassmannian

Author(s): Leonardo Constantin Mihalcea
Journal: Trans. Amer. Math. Soc. 360 (2008), 2285-2301.
MSC (2000): Primary 14N35; Secondary 05E05, 14F43
Posted: December 11, 2007
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Abstract | References | Similar articles | Additional information

Abstract: We find presentations by generators and relations for the equivariant quantum cohomology of the Grassmannian. For these presentations, we also find determinantal formulae for the equivariant quantum Schubert classes. To prove this, we use the theory of factorial Schur functions and a characterization of the equivariant quantum cohomology ring.


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Additional Information:

Leonardo Constantin Mihalcea
Affiliation: Department of Mathematics, Florida State University, 208 Love Building, Tallahassee, Florida 32312
Address at time of publication: Department of Mathematics, Duke University, Box 90320, Durham, North Carolina 27708
Email: mihalcea@math.fsu.edu, lmihalce@math.duke.edu

DOI: 10.1090/S0002-9947-07-04245-6
PII: S 0002-9947(07)04245-6
Received by editor(s): June 17, 2005 and, in revised form, November 9, 2005
Posted: December 11, 2007
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.


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