Navigating moduli space with complex twists

Curtis McMullen

Journal of the European Mathematical Society (2013)

  • Volume: 015, Issue: 4, page 1223-1243
  • ISSN: 1435-9855

Abstract

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We discuss a common framework for studying twists of Riemann surfaces coming from earthquakes, Teichmüller theory and Schiffer variations, and use it to analyze geodesics in the moduli space of isoperiodic 1-forms.

How to cite

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McMullen, Curtis. "Navigating moduli space with complex twists." Journal of the European Mathematical Society 015.4 (2013): 1223-1243. <http://eudml.org/doc/277544>.

@article{McMullen2013,
abstract = {We discuss a common framework for studying twists of Riemann surfaces coming from earthquakes, Teichmüller theory and Schiffer variations, and use it to analyze geodesics in the moduli space of isoperiodic 1-forms.},
author = {McMullen, Curtis},
journal = {Journal of the European Mathematical Society},
keywords = {moduli space; Teichmüller theory; Abelian differentials; Schiffer variation; Dehn twist; moduli space; Teichmüller theory; abelian differentials; Schiffer variation; Dehn twist},
language = {eng},
number = {4},
pages = {1223-1243},
publisher = {European Mathematical Society Publishing House},
title = {Navigating moduli space with complex twists},
url = {http://eudml.org/doc/277544},
volume = {015},
year = {2013},
}

TY - JOUR
AU - McMullen, Curtis
TI - Navigating moduli space with complex twists
JO - Journal of the European Mathematical Society
PY - 2013
PB - European Mathematical Society Publishing House
VL - 015
IS - 4
SP - 1223
EP - 1243
AB - We discuss a common framework for studying twists of Riemann surfaces coming from earthquakes, Teichmüller theory and Schiffer variations, and use it to analyze geodesics in the moduli space of isoperiodic 1-forms.
LA - eng
KW - moduli space; Teichmüller theory; Abelian differentials; Schiffer variation; Dehn twist; moduli space; Teichmüller theory; abelian differentials; Schiffer variation; Dehn twist
UR - http://eudml.org/doc/277544
ER -

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