4 papers · 1 filter
Monodromy and vanishing cycles for complete intersection curves
Ishan Banerjee, Nick Salter
We compute the topological monodromy of every family of complete intersection curves. Like in the case of plane curves previously treated by the second-named author, we find the an…
Monodromy and vanishing cycles for sufficiently ample linear systems on simply connected surfaces
Ishan Banerjee, Nick Salter
We compute the mapping class group-valued monodromy of any sufficiently ample linear system on any smooth simply connected projective surface, identifying this with the r-spin mapp…
Fundamental groups of strata of abelian differentials of low codimension
Nick Salter
We show that for a stratum of projectivized abelian differentials with sufficiently many simple zeroes, the inclusion into the appropriate moduli space of pointed curves induces an…
Topological monodromy kernels for fundamental groups of discriminant complements
Nick Salter
A linear system on a smooth complex algebraic surface gives rise to a family of smooth curves in the surface. Such a family has a topological monodromy representation valued in the…