3 papers
math.GT2025
Cornered skein lasagna theory
Sarah Blackwell, Vyacheslav Krushkal, Yangxiao Luo
We extend the skein lasagna theory of Morrison-Walker-Wedrich to 4-manifolds with corners and formulate gluing formulas for 4-manifolds with boundary and, more generally, with corn…
math.GT2024
Corks for exotic diffeomorphisms
Vyacheslav Krushkal, Anubhav Mukherjee, Mark Powell +1
We prove a localization theorem for exotic diffeomorphisms, showing that every diffeomorphism of a compact simply-connected 4-manifold that is isotopic to the identity after stabil…
math.GT2024
Thompson's group , tangles, and link homology
Vyacheslav Krushkal, Louisa Liles, Yangxiao Luo
We extend a construction of Jones to associate -tangles with elements of Thompson's group and prove that it is asymptotically faithful as . Using this cons…