Please use this identifier to cite or link to this item:
http://arks.princeton.edu/ark:/88435/dsp01s1784k857| Title: | Quantum Cohomology of Hypertoric Varieties and Geometric Representations of Yangians |
| Authors: | McBreen, Michael Ben |
| Advisors: | Okounkov, Andrei |
| Contributors: | Mathematics Department |
| Keywords: | Mirror Symmetry Quantum Cohomology Quiver variety Symplectic Resolution Yangian |
| Subjects: | Mathematics |
| Issue Date: | 2013 |
| Publisher: | Princeton, NJ : Princeton University |
| Abstract: | This thesis compares two geometric constructions of a Yangian, due to Varagnolo and Nakajima on the one hand and Maulik and Okounkov on the other. It also, separately, computes the quantum cohomology of smooth hypertoric varieties, and nds a mirror formula for their quantum connection. It contains brief introductions to the background material for both problems. |
| URI: | http://arks.princeton.edu/ark:/88435/dsp01s1784k857 |
| Alternate format: | The Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the library's main catalog |
| Type of Material: | Academic dissertations (Ph.D.) |
| Language: | en |
| Appears in Collections: | Mathematics |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| McBreen_princeton_0181D_10737.pdf | 452.12 kB | Adobe PDF | View/Download |
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