Weight Stretching in Moduli of Parabolic Bundles and Quiver Representations Public Deposited
- Last Modified
- March 19, 2019
- Creator
-
Sherman, Cass
- Affiliation: College of Arts and Sciences, Department of Mathematics
- Abstract
- In their 2004 paper, King, Tollu, and Toumazet consider the effects of stretching a Littlewood-Richardson coefficient by a positive integer N. When the L-R coefficient corresponding to N=1 is small (0,1,2, or 3), they conjecture simple polynomial formulas determining the L-R coefficient for all positive integers N. In this thesis, we consider generalizations of their conjecture to parabolic vector bundles and representations of quivers. In each instance, there is a polarized moduli space (M,L) with the property that the dimension of the global sections of the Nth tensor power of L scales in the same way as the corresponding generalized L-R coefficient. The "simple polynomial formulas" then translate to simple geometric descriptions of (M,L). We prove that these descriptions hold in many cases.
- Date of publication
- May 2016
- Keyword
- DOI
- Resource type
- Rights statement
- In Copyright
- Advisor
- Wahl, Jonathan
- Cherednik, Ivan
- Rimanyi, Richard
- Belkale, Prakash
- Sawon, Justin
- Degree
- Doctor of Philosophy
- Degree granting institution
- University of North Carolina at Chapel Hill Graduate School
- Graduation year
- 2016
- Language
- Parents:
This work has no parents.
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