Department of Mathematics

Prof. Dr. Andrew Swann (Universität Aarhus): "What should toric G_2 mean?"

Dec 14, 2017 from 04:15 PM to 05:45 PM

LMS 4 - Raum 526 - Übungsraum


The Delzant construction in symplectic geometry gives a complete description of compact symplectic manifolds of dimension 2n with a Hamiltonian action of an n-torus.  A similar picture exists for complete hyperKähler manifolds of dimension 4n.  Given that 7-manifolds with holonomy contained in G_2 are also prescribed by closed forms, it is natural to ask whether there are similar constructions in this category.  Using the idea of multi-moment map, I will suggest an appropriate class of G_2 manifolds to study.



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