On the Projective Geometry of the Supercircle: A Unified Construction of the Super Cross-Ratio and Schwarzian Derivative
نویسندگان
چکیده
منابع مشابه
On the projective geometry of the supercircle: a unified construction of the super cross-ratio and Schwarzian derivative
We consider the standard contact structure on the supercircle, S1|1, and the supergroups E(1|1), Aff(1|1) and SpO(2|1) of contactomorphisms, defining the Euclidean, affine and projective geometry respectively. Using the new notion of p|q-transitivity, we construct in synthetic fashion even and odd invariants characterizing each geometry, and obtain an even and an odd super cross-ratios. Startin...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2008
ISSN: 1687-0247,1073-7928
DOI: 10.1093/imrn/rnn054