4 papers
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…
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…
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…
Coadjoint orbits and Kähler structure: examples from coherent states
Rukmini Dey, Joseph Samuel, Rithwik S. Vidyarthi
Do co-adjoint orbits of Lie groups support a Kähler structure? We study this question from a point of view derived from coherent states. We examine three examples of Lie groups: th…