3 papers
math.GT2025
Veech fibrations
Sam Freedman, Trent Lucas
We investigate complex surfaces that fiber over Teichmüller curves where the generic fiber is a Veech surface. When the fiber has genus one, these surfaces are elliptic fibrations…
math.GT2025
Isotopy versus equivariant isotopy in dimensions three and higher
Trent Lucas
Given a finite group action on a smooth manifold, we study the following question: if two equivariant diffeomorphisms are isotopic, must they be equivariantly isotopic? Birman-Hild…
math.GT2025
Birman-Hilden theory for 3-manifolds
Trent Lucas
Given a branched cover of manifolds, one can lift homeomorphisms along the cover to obtain a (virtual) homomorphism between mapping class groups. Following a question of Margalit-W…