65 citations · 195 across the 28 of their papers we have counts for
4 papers · 1 filter
Configuration space integrals and the topology of knot and link spaces
Ismar Volic
This article surveys the use of configuration space integrals in the study of the topology of knot and link spaces. The main focus is the exposition of how these integrals produce…
On volume-preserving vector fields and finite type invariants of knots
R. Komendarczyk, I. Volic
We consider the general nonvanishing, divergence-free vector fields defined on a domain in three space and tangent to its boundary. Based on the theory of finite type invariants, w…
A survey of Bott-Taubes integration
Ismar Volic
It is well known that certain combinations of configuration space integrals defined by Bott and Taubes produce cohomology classes of spaces of knots. The literature surrounding thi…
Configuration space integrals and Taylor towers for spaces of knots
Ismar Volic
We describe Taylor towers for spaces of knots arising from Goodwillie-Weiss calculus of the embedding functor and extend the configuration space integrals of Bott and Taubes from s…