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The two-legged K-theoretic equivariant vertex

Osinenko, Anton

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.

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More About This Work

Academic Units
Mathematics
Thesis Advisors
Okounkov, Andrei
Degree
Ph.D., Columbia University
Published Here
April 24, 2019