3 papers
math.GT2026
Knot Floer homology of boundary Dehn twists
Rithwik Susheel Vidyarthi
We prove that the knot Floer complex, along with some restrictions on the flip map, determines the dual knot to surgery on the Borromean knot. In particular, this implies t…
math.GT2026
Plane Floer homology and the odd Khovanov homology of 2-knots
Dean Spyropoulos, Rithwik Susheel Vidyarthi, Chen Zhang
We prove a conjecture of Migdail and Wehrli regarding the odd Khovanov cobordism maps associated to knotted spheres. Our key tool is Daemi's plane Floer homology, which we use in p…
math.GT2025
Transverse fibered knots and Taut Foliations
Rithwik Susheel Vidyarthi
We give a short alternative proof of Honda-Kazec-Matic's result, which states that a fibered knot with pseudo-Anosov monodromy and fractional Dehn twist coefficient support…