Error message

  • Deprecated function: Optional parameter $js declared before required parameter $element is implicitly treated as a required parameter in include_once() (line 1445 of /var/www/html/mathtube.org/includes/bootstrap.inc).
  • Deprecated function: Optional parameter $input declared before required parameter $form_state is implicitly treated as a required parameter in include_once() (line 1445 of /var/www/html/mathtube.org/includes/bootstrap.inc).

Disconnecting the G_2 Moduli Space

Author: 
Johannes Nordstrom
Date: 
Tue, Jul 7, 2015
Location: 
PIMS, University of British Columbia
Conference: 
PIMS Symposium on the Geometry and Topology of Manifolds
Download PDF file
Abstract: 
Little is currently known about the global properties of the $G_2$ moduli space of a closed 7-manifold, ie the space of Riemannian metrics with holonomy $G_2$ modulo diffeomorphisms. A holonomy $G_2$ metric has an associated $G_2$-structure, and I will define a Z/48 valued homotopy invariant of a $G_2$-structure in terms of the signature and Euler characteristic of a Spin(7)-coboundary. I will describe examples of manifolds with holonomy $G_2$ metrics where the invariant is amenable to computation in terms of eta invariants, and which are candidates for having a disconnected moduli space. This is joint work in progress with Diarmuid Crowley and Sebastian Goette.
Class: 
Scientific
Subject: 
Mathematics
Topology
  • 6705 reads