Periods of Abelian Differentials With Prescribed Singularities

DOI10.1093/imrn/rnaa263zbMath1485.30014arXiv2003.02216OpenAlexW3092532492MaRDI QIDQ5071145

Thomas le Fils

Publication date: 20 April 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.02216

Mathematics Subject Classification ID

Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Differentials on Riemann surfaces (30F30) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (6)

An easy (horizontal) walk through fake octagons ⋮ Holonomy of complex projective structures on surfaces with prescribed branch data ⋮ Translation surfaces and periods of meromorphic differentials ⋮ A transfer principle: from periods to isoperiodic foliations ⋮ Haupt's theorem for strata of abelian differentials ⋮ Deformation quantization of moduli spaces of Higgs bundles on a Riemann surface with translation structure

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