Two functions on Sp(g,R)
Geometric Topology
2015-10-27 v3 Group Theory
Abstract
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).
Cite
@article{arxiv.1308.1038,
title = {Two functions on Sp(g,R)},
author = {Patrick M. Gilmer},
journal= {arXiv preprint arXiv:1308.1038},
year = {2015}
}
Comments
8 pages