50 citations · 74 across the 3 of their papers we have counts for
3 papers
math.AT2020
Enhanced Bruhat decomposition and Morse theory
Petr Pushkar, Misha Tyomkin
Morse function is called strong if all its critical values are pairwise distinct. Given such a function and a field Barannikov constructed a pairing of some of the…
math.AG2017★ 24 cited
Quantum K-theory of Quiver Varieties and Many-Body Systems
Peter Koroteev, Petr P. Pushkar, Andrey Smirnov +1
We define quantum equivariant K-theory of Nakajima quiver varieties. We discuss type A in detail as well as its connections with quantum XXZ spin chains and trigonometric Ruijsenaa…
math.AG2016★ 50 cited
Baxter Q-operator from quantum K-theory
Petr P. Pushkar, Andrey Smirnov, Anton M. Zeitlin
We define and study the quantum equivariant -theory of cotangent bundles over Grassmannians. For every tautological bundle in the -theory we define its one-parametric deforma…