In this work we study K-theoretic Donaldson-Thomas theory. We derive an explicit formula for the capped vertex with two legs in a certain gauge. Using this result we obtain an explicit formula for the operator corresponding to relative geometry of the resolved conifold with two nontrivial legs. As a consequence, we prove polynomiality in the Kahler variable of the operator for the corresponding absolute geometry.
| Identifer | oai:union.ndltd.org:columbia.edu/oai:academiccommons.columbia.edu:10.7916/d8-ze3v-0g40 |
| Date | January 2019 |
| Creators | Osinenko, Anton |
| Source Sets | Columbia University |
| Language | English |
| Detected Language | English |
| Type | Theses |
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