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.CV2024
Two-loop Loewner potentials
Yan Luo, Sid Maibach
We study a generalization of the Schramm-Loewner evolution loop measure to pairs of non-intersecting Jordan curves on the Riemann sphere. We also introduce four equivalent definiti…
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…