A Maslov cocycle for unitary groups

Katrin Tent; Linus Kramer

REVIEW

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 0707.2281 v4 pith:5VLR2JTD submitted 2007-07-16 math.KT math.GR

A Maslov cocycle for unitary groups

Linus Kramer , Katrin Tent This is my paper

classification math.KT math.GR

keywords cocyclegroupsclassfieldsarbitrarycharacteristiccherncoincides

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

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.

A Maslov cocycle for unitary groups

discussion (0)