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dc.contributor.authorMukamel, Ronen E.
dc.date.accessioned 2017-03-07T17:07:15Z
dc.date.available 2017-03-07T17:07:15Z
dc.date.issued 2017
dc.identifier.citation Mukamel, Ronen E.. "Fundamental domains and generators for lattice Veech groups." Commentarii Mathematici Helvetici, 92, no. 1 (2017) European Mathematical Society Publishing House: 57-83. http://dx.doi.org/10.4171/CMH/406.
dc.identifier.urihttps://hdl.handle.net/1911/94017
dc.description.abstract The moduli space QMg of non-zero genus g quadratic differentials has a natural action of G=GL+2(R) / ⟨±(1001) ⟩. The Veech group PSL(X,q) is the stabilizer of (X,q)∈QMg in G. We describe a new algorithm for finding elements of PSL(X,q) which, for lattice Veech groups, can be used to compute a fundamental domain and generators. Using our algorithm, we give the first explicit examples of generators and fundamental domains for non-arithmetic Veech groups where the genus of H / PSL(X,q) is greater than zero.
dc.language.iso eng
dc.publisher European Mathematical Society Publishing House
dc.rights Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
dc.title Fundamental domains and generators for lattice Veech groups
dc.type Journal article
dc.citation.journalTitle Commentarii Mathematici Helvetici
dc.subject.keywordRiemann surfaces
Teichmüller theory
Veech groups
dc.citation.volumeNumber 92
dc.citation.issueNumber 1
dc.type.dcmi Text
dc.identifier.doihttp://dx.doi.org/10.4171/CMH/406
dc.type.publication publisher version
dc.citation.firstpage 57
dc.citation.lastpage 83


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