2 citations · 5 across the 6 of their papers we have counts for
10 papers · 1 filter
An infinity-categorical TQFT from instantons
Fan Ye
In this paper, we upgrade the instanton TQFT from ordinary categories to a functor from an -cobordism category for instantons to an -derived cate…
2-torsion in instanton Floer homology
Zhenkun Li, Fan Ye
This paper studies the existence of -torsion in instanton Floer homology with coefficients for closed -manifolds and singular knots. First, we show that the non-…
Guts of nearly fibered knots
Zhenkun Li, Fan Ye
The guts of a knot is an invariant defined for the knot complement by Agol-Zhang. Nearly fibered knots, which are defined as knots whose Floer homology has dimension two in the top…
SU(2) representations and a large surgery formula
Zhenkun Li, Fan Ye
A knot is called -abundant if it satisfies two conditions: first, for all but finitely many , there exists an irreducible repre…
Knot surgery formulae for instanton Floer homology II: applications
Zhenkun Li, Fan Ye
This is a companion paper to earlier work of the authors, which proved an integral surgery formula for framed instanton homology. First, we present an enhancement of the large surg…
Instanton dimensions of knot surgeries over arbitrary fields
Zhenkun Li, Fan Ye
Suppose is a knot and suppose and are co-prime integers with . For any field , we establish a dimension formula for the framed instanton…