Academic Commons

Theses Doctoral

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.


  • thumnail for Osinenko_columbia_0054D_15179.pdf Osinenko_columbia_0054D_15179.pdf application/pdf 646 KB Download File

More About This Work

Academic Units
Thesis Advisors
Okounkov, Andrei
Ph.D., Columbia University
Published Here
April 24, 2019
Academic Commons provides global access to research and scholarship produced at Columbia University, Barnard College, Teachers College, Union Theological Seminary and Jewish Theological Seminary. Academic Commons is managed by the Columbia University Libraries.