2019 Theses Doctoral

# The two-legged K-theoretic equivariant vertex

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.

## Subjects

## Files

- Osinenko_columbia_0054D_15179.pdf application/pdf 246 KB Download File

## More About This Work

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