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Virginia Tech

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

Abstract

dc:description.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.

Degree

thesis:*
Name thesis:degree_name
Ph. D.
Level thesis:degree_level
doctoral
Discipline thesis:degree_discipline
Mathematics
Department dc:contributor.department
Mathematics
Grantor dc:publisher
Virginia Tech
Year dc:date.issued
2018

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Withrow, Camron Michael
Chair dc:contributor.committeechair
  • Mihalcea, Constantin Leonardo
Committee members dc:contributor.committeemember
  • Orr, Daniel D.
  • Haskell, Peter E.
  • Shimozono, Mark M.

Subjects

dc:subject × 3

Rights

dc:rights
Statement dc:rights
  • In Copyright

Identifiers

dc:identifier.*
Dc Identifier Other
vt_gsexam:16266
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/83820

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Withrow, Camron Michael. The moment graph for Bott-Samelson varieties and applications to quantum cohomology. doctoral thesis, Virginia Tech, 2018. http://hdl.handle.net/10919/83820