Infinitely Many Lattice Surfaces with Special Pseudo-Anosov Maps

Citeable URL: https://ir.library.oregonstate.edu/concern/articles/k930bx57z

Descriptions

Attribute Name	Values
Creator	Calta, Kariane Schmidt, Thomas A.
Abstract	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. Keywords: fluxtranslation surface, SAF invariant, Veech group, Pseudo-Anosov
Resource Type	Article
DOI	https://doi.org/10.3934/jmd.2013.7.239
Date Available	2013-11-04T17:43:55+00:00
Date Issued	2013-06
Citation	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
Journal Title	Journal of Modern Dynamics
Journal Volume	7
Journal Issue/Number	2
Academic Affiliation	Mathematics
Rights Statement	Copyright Not Evaluated
Publisher	American Institute of Mathematical Sciences
Peer Reviewed	Yes
Language	English [eng]
Replaces	http://hdl.handle.net/1957/43726