85 citations · 245 across the 20 of their papers we have counts for
22 papers
Commutators of signed -cycles
Philipp Bader, Bernhard Böhmler, Patrick Wegener
We show that for each element of the commutator subgroup in the symmetric group resp. in the signed symmetric group $(\mathbb{Z}/2\mathbb{Z})^n\rtimes\m…
A survey on mapping class groups of 3-manifolds
Philipp Bader, Rachael Boyd, Giulia Carfora +8
We survey computations and tools concerning the mapping class group of a compact, oriented, connected 3-manifold . We provide a guide to the literature and sketch proofs for var…
Commutators of n-cycles in the symmetric group
Philipp Bader
We show that for every even permutation on symbols is the commutator of two -cycles. More precisely, let be the symmetric group and the alternating gro…
Comparing Teichmüller and curve graph translation lengths
Philipp Bader
A pseudo-Anosov mapping class acts on Teichmüller space as well as on the curve graph with so called north-south dynamics. We can measure a stable trans…
Prym Representations of the Handlebody Group
Philipp Bader
Let be an oriented, closed surface of genus The mapping class group of is the group of orientation preserving homeomorphisms of modulo isotopy. In 1997, Looijenga…
An efficient algorithm to compute the exponential of skew-Hermitian matrices for the time integration of the Schrödinger equation
Philipp Bader, Sergio Blanes, Fernando Casas +1
We present a practical algorithm to approximate the exponential of skew-Hermitian matrices up to round-off error based on an efficient computation of Chebyshev polynomials of matri…