On the Quantum K-theory of the Quintic
Time: 2021-04-19
Published By: He Liu
Speaker(s): Emanuel Scheidegger (Peking University)
Time: 15:15-16:15 April 20, 2021
Venue: Room 29, Quan Zhai, BICMR
Quantum cohomology is a deformation of the cohomology of a projective variety governed by counts of stable maps from a curve into this variety. Quantum K-theory is in a similar way a deformation of K-theory but also of quantum cohomology, It has recently attracted attention in physics since a realization in a physical theory has been found. Currently, both the structure and examples in quantum K-theory are far less understood than in quantum cohomology.
We will explain the properties of quantum K-theory in comparison with quantum cohomology, and we will discuss the examples of projective space and the quintic hypersurface in P^4.
