Projective Span of Wall Manifolds

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• Baylee Schutte (University of Aberdeen)
• Thursday 13 June 2024, 13:45-14:15
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TRHW01 - Workshop on topology, representation theory and higher structures

The projective span (pspan) of a smooth manifold is defined to be the maximal number of linearly independent tangent line fields. To initiate a study of projective span, we have calculated the pspan of Wall manifolds, which are certain mapping tori of Dold manifolds. In this talk, we explore how the theory of Clifford algebras and their modules can be used to construct quasi-invariant vector fields on a cover of a Wall manifold, for such vector fields descend to line fields on the quotient. This work is joint with Mark Grant as based on our preprint arXiv:2311.14107.

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

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