19 citations · 31 across the 10 of their papers we have counts for
12 papers
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,…
Geometry of Music Perception
Benjamin Himpel
Prevalent neuroscientific theories are combined with acoustic observations from various studies to create a consistent geometric model for music perception in order to rationalize,…
Smoothing Game
Dimitris Vartziotis, Doris Bohnet, Benjamin Himpel
We want to introduce another smoothing approach by treating each geometric element as a player in a game: a quest for the best element quality. In other words, each player has the…
Creation of higher-energy superposition quantum states motivated by geometric transformations
Dimitris Vartziotis, Benjamin Himpel, Markus Pfeil
We suggest a way to produce higher-energy superposition states in a circular system of quantum wells. This is inspired by a link to convergence results for geometric transformation…
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…
Laplacian smoothing revisited
Dimitris Vartziotis, Benjamin Himpel
We show that the driving force behind the regularizing effect of Laplacian smoothing on surface elements is the popular mean ratio quality measure. We use these insights to provide…