activity
20202025
most citedKnot Complement, ADO-Invariants and their Deformations for Torus Knots

4 citations · 9 across the 7 of their papers we have counts for

collaborators

7 papers

math-ph2025

Link in and the Topological Vertex

John Chae

We provide the first computations of colored unknots and Hopf link in using both the topological vertex and its refinement. Our approach utilizes the toric…

math.GT2023★ 2 cited

A Cable Knot and BPS-Series II

John Chae

This is a companion paper to earlier work of the author, which generalizes to an infinite family of -cabling of the figure eight knot () and proposes general formu…

math-ph2022

Fiber sum formulas for 4-manifolds, topological modular forms and theories

John Chae

Using the relation between four manifolds and topological modular form (TMF) from the six dimensional approach, we exhibit fiber sum formulas for infinite families of smooth spin f…

math.GT2021

A Connect Sum Formula for the BPS Invariant of Knot Complements

John Chae

A connect sum formula for the two variable series invariant of a complement of knot is proposed. We provide two kinds of numerical evidence for the proposed formula by examining va…

math.GT2021

Towards a q-series for osp(2|2n)

John Chae

A series invariant for a certain class of closed 3-manifolds associated with a type I Lie superalgebra sl(m|n) was introduced recently. We find a q-series for the other Lie superal…

math.GT2021★ 3 cited

A Cable Knot and BPS-Series

John Chae

A series invariant of a complement of a knot was introduced recently. The invariant for several prime knots up to ten crossings have been explicitly computed. We present the first…