Extremality of the Rotation Quasimorphism on the Modular Group
<p>For any element A of the modular group PSL(2,Z), it follows from work of Bavard that scl(A) is greater than or equal to rot(A)/2, where scl denotes stable commutator length and rot denotes the rotation quasimorphism. Sometimes this bound is sharp, and sometimes it is not. We study for whi...
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| Format: | Others |
| Language: | en |
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2011
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| Online Access: | https://thesis.library.caltech.edu/5807/1/Louwsma_Thesis.pdf Louwsma, Joel Ryan (2011) Extremality of the Rotation Quasimorphism on the Modular Group. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/0Y6J-VP31. https://resolver.caltech.edu/CaltechTHESIS:05132010-155930760 <https://resolver.caltech.edu/CaltechTHESIS:05132010-155930760> |
Internet
https://thesis.library.caltech.edu/5807/1/Louwsma_Thesis.pdfLouwsma, Joel Ryan (2011) Extremality of the Rotation Quasimorphism on the Modular Group. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/0Y6J-VP31. https://resolver.caltech.edu/CaltechTHESIS:05132010-155930760 <https://resolver.caltech.edu/CaltechTHESIS:05132010-155930760>