Title of article
Hyperelliptic translation surfaces and folded tori
Author/Authors
Johnson، نويسنده , , Chris and Schmoll، نويسنده , , Martin، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2014
Pages
22
From page
73
To page
94
Abstract
Following constructions of McMullen [11] and Vasilyev [15] we list strict quadratic differentials on (marked) tori defined by twists of one-forms on hyperelliptic surfaces. We count the total number of twists in each genus and show that the quadratic differentials on (marked) tori are strict. Taking universal covers we obtain a variety of (non-arithmetic) lattice Panov planes [14] from genus two lattice surfaces.
Keywords
Translation surface , Quadratic differential , Riemann surfaces , Branched covers , Hyperelliptic surfaces
Journal title
Topology and its Applications
Serial Year
2014
Journal title
Topology and its Applications
Record number
1584008
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