Stable homology of surface diffeomorphism groups made discrete

Sam Nariman*

*Corresponding author for this work

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

We answer affirmatively a question posed by Morita on homological stability of surface diffeomorphisms made discrete. In particular, we prove that C-diffeomorphisms of surfaces as family of discrete groups exhibit homological stability. We show that the stable homology of C-diffeomorphisms of surfaces as discrete groups is the same as homology of certain infinite loop space related to Haefliger’s classifying space of foliations of codimension 2. We use this infinite loop space to obtain new results about (non)triviality of characteristic classes of flat surface bundles and codimension-2 foliations.

Original languageEnglish (US)
Pages (from-to)3047-3092
Number of pages46
JournalGeometry and Topology
Volume21
Issue number5
DOIs
StatePublished - Aug 15 2017

ASJC Scopus subject areas

  • Geometry and Topology

Fingerprint Dive into the research topics of 'Stable homology of surface diffeomorphism groups made discrete'. Together they form a unique fingerprint.

  • Cite this