A Maslov cocycle for unitary groups

Details A Maslov cocycle for unitary groups A Maslov cocycle for unitary groups

2007-07-16

arxiv.org/abs/0707.2281v4

Mathematics

K-Theory and Homology

To appear in Proc. London Math. Soc

Scientific paper

We introduce a 2-cocycle for symplectic and skew-hermitian hyperbolic groups over arbitrary fields and skew fields, with values in the Witt group of hermitian forms. This cocycle has good functorial properties: it is natural under extension of scalars and stable, so it can be viewed as a universal 2-dimensional characteristic class for these groups. Over R and C, it coincides with the first Chern class.

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