![[Search]](/static/images/search.gif){kind=small}
![[A-Z Index]](/static/images/az.gif){kind=small}
![[Contact]](/static/images/contact.gif){kind=small}
![[University of Cambridge]](/static/images/identifier2.gif){kind=small}
![[Talks.cam]](/static/images/talkslogosmall.gif)
Jan Steinebrunner (University of Copenhagen)
Wednesday 05 June 2024, 10:15-11:00
Moduli spaces of reducible 3-manifolds
- đ¤ Speaker: Jan Steinebrunner (University of Copenhagen)
- đ Date & Time: Wednesday 05 June 2024, 10:15 - 11:00
- đ Venue: External
Abstract
In joint work with Rachael Boyd and Corey Bregman we study the classifying space B Diff(M) of the diffeomorphism group of a connected, compact, orientable 3-manifold M. By a theorem of Milnor every such M has a unique prime decomposition as a connected sum of prime 3-manifolds. The purpose of this talk is to explain how one can compute the moduli space B Diff(M) in terms of the moduli spaces of prime factors. We build a contractible space parametrising the systems of reducing spheres, which yields a concrete model of B Diff(M).We use this to prove that if M has non-empty boundary, then B Diff(M rel boundary) has the homotopy type of a finite CW complex, as was conjectured by Kontsevich.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
Included in Lists
- All CMS events
- bld31
- dh539
- External
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
Note: Ex-directory lists are not shown.