Groups of 8-manifolds

Csaba Nagy (University of Glasgow)

Monday 2nd October 16:00-17:00 Maths 311B


We introduce a group Θ8(r ) consisting of polarised simply-connected 8-manifolds whose homology is isomorphic to that of the connected sum of r copies of S2 x S6. The group Θ8(r ) comes equipped with an action of GL(rZ) and a stabilisation map to Θ8(+ 1). We determine the isomorphism type of Θ8(r ), and show that the rationalisation of Θ8(r ), with the action of GL(r, Q), satisfies representation stability.

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