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Title:
Connected components of the moduli space of G2 manifolds
Speaker:
Abstract:
The Crowley-Nordstrom nu-invariant distinguishes topological G2 structures on 7-manifolds. It takes values in Z/48. There is a Z-valued extension of nu for manifolds of holonomy G2. We will introduce both invariants and show how they can be computed for extra twisted connected sums using eta-invariants of Dirac operators. This allows us to exhibit examples of 7-manifolds M where the space of G2-holonomy metrics is disconnected. We will then talk about some related open questions and problems and sketch possible next steps in our research program.
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