The moment graph for Bott-Samelson varieties and applications to quantum cohomology

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2018-06-29

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Virginia Tech

Abstract

We give a description of the moment graph for Bott-Samelson varieties in arbitrary Lie type. We use this, along with curve neighborhoods and explicit moduli space computations, to compute a presentation for the small quantum cohomology ring of a particular Bott-Samelson variety in Type A.

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Bott-Samelson Variety, Quantum Cohomology, Moment Graph

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http://hdl.handle.net/10919/83820

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Doctoral Dissertations