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Infinitely Many Lattice Surfaces with Special Pseudo-Anosov Maps Public Deposited

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  • We give explicit pseudo-Anosov homeomorphisms with vanishing Sah–Arnoux–Fathi invariant. Any translation surface whose Veech group is commensurable to any of a large class of triangle groups is shown to have an affine pseudo-Anosov homeomorphism of this type. We also apply a reduction to finite triangle groups and thereby show the existence of nonparabolic elements in the periodic field of certain translation surfaces.
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  • Calta, K., & Schmidt, T. (2013). Infinitely many lattice surfaces with special pseudo-anosov maps. Journal of Modern Dynamics, 7(2), 239-254. doi:10.3934/jmd.2013.7.239
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  • 7
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  • 2
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  • description.provenance : Made available in DSpace on 2013-11-04T17:43:55Z (GMT). No. of bitstreams: 1 SchmidtThomasAMathematicsInfinitelyManyLattice.pdf: 208578 bytes, checksum: d6eac0a7400e943a7ecc52e7857e9405 (MD5) Previous issue date: 2013-06
  • description.provenance : Submitted by Deborah Campbell (deborah.campbell@oregonstate.edu) on 2013-11-04T17:41:31Z No. of bitstreams: 1 SchmidtThomasAMathematicsInfinitelyManyLattice.pdf: 208578 bytes, checksum: d6eac0a7400e943a7ecc52e7857e9405 (MD5)
  • description.provenance : Approved for entry into archive by Deborah Campbell(deborah.campbell@oregonstate.edu) on 2013-11-04T17:43:55Z (GMT) No. of bitstreams: 1 SchmidtThomasAMathematicsInfinitelyManyLattice.pdf: 208578 bytes, checksum: d6eac0a7400e943a7ecc52e7857e9405 (MD5)

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