19 citations · 31 across the 10 of their papers we have counts for
7 papers · 1 filter
Lie groups and Chern-Simons Theory
Benjamin Himpel
Witten introduced classical Chern-Simons theory to topology in 1989, when he defined an invariant for knots in 3-manifolds by an integral over a certain infinite-dimensional space,…
The Witten-Reshetikhin-Turaev invariant for links in finite order mapping tori I
Jørgen Ellegaard Andersen, Benjamin Himpel, Søren Fuglede Jørgensen +2
We state Asymptotic Expansion and Growth Rate conjectures for the Witten-Reshetikhin-Turaev invariants of arbitrary framed links in 3-manifolds, and we prove these conjectures for…
Efficient Mesh Optimization Using the Gradient Flow of the Mean Volume
Dimitris Vartziotis, Benjamin Himpel
The signed volume function for polyhedra can be generalized to a mean volume function for volume elements by averaging over the triangulations of the underlying polyhedron. If we c…
The Witten-Reshetikhin-Turaev invariants of finite order mapping tori II
Jørgen Ellegaard Andersen, Benjamin Himpel
We identify the leading order term of the asymptotic expansion of the Witten-Reshetikhin-Turaev invariants for finite order mapping tori with classical invariants for all simple an…
Splitting the spectral flow and the SU(3) Casson invariant for spliced sums
Hans U. Boden, Benjamin Himpel
We show that the SU(3) Casson invariant for spliced sums along certain torus knots equals 16 times the product of their SU(2) Casson knot invariants. The key step is a splitting fo…
A splitting formula for the spectral flow of the odd signature operator on 3-manifolds coupled to a path of SU(2) connections
Benjamin Himpel
We establish a splitting formula for the spectral flow of the odd signature operator on a closed 3-manifold M coupled to a path of SU(2) connections, provided M = S cup X, where S…