On the Global Topology of G2 Moduli Spaces

Add to your list(s) Download to your calendar using vCal

• Thorsten Hertl (Universität Freiburg)
• Friday 14 June 2024, 16:45-17:15
• External.

If you have a question about this talk, please contact nobody.

TRHW01 - Workshop on topology, representation theory and higher structures

In his two seminal articles, Dominic Joyce not only constructed the first examples of closed manifolds with G2-holonomy metrics, but also proved that the moduli space of all G2-metrics on a closed manifold is itself a finite-dimensional manifold. The statement is, however, only a local one, and the global topological properties of these moduli spaces have remained quite mysterious ever since. Indeed, up to now, we only know that they may be disconnected by the work of Crowley, Goette, and Nordström; the question whether all path components are contractible or not has not been answered yet. In this talk, I will outline a construction of an element in the second homotopy group of the moduli space of G2 metrics on Joyce’s first example and present along the way a homotopy-theoretical result that guarantees its non-triviality.This talk is based on joint work with Sebastian Goette.  

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

• All CMS events
• External
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• bld31

Note that ex-directory lists are not shown.