arXiv:1308.1038 Abstract | arXiv Analytics

arXiv:1308.1038 [math.GT]Abstract References Reviews Resources

Two functions on Sp(g,R)

Published 2013-08-05, updated 2015-02-20Version 3

We consider two functions on Sp(g,R) with values in the cyclic group of order four {1,-1,i,-i}. One was defined by Lion and Vergne. The other is -i raised to the power given by an integer valued function defined by Masbaum and the author (initially on the mapping class group of a surface). We identify these functions when restricted to Sp(g,Z). We conjecture the identity of these functions on Sp(g,R).

Comments: 8 pages

Categories: math.GT, math.GR

Subjects: 53D12, 19C09, 57M99, 11E39

Keywords: cyclic group, mapping class group, conjecture, integer valued function

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