Applications of cobordism categories to enumerative invariants

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• Markus Upmeier, Aberdeen
• Wednesday 23 February 2022, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Oscar Randal-Williams.

The construction of enumerative invariants requires an understanding of certain differential-topological properties of moduli spaces. Important examples include instanton counting problems in gauge theory and Donaldson-Thomas invariants in algebraic geometry.

In my talk, I will discuss a new approach to these index-theoretic problems based on cobordism categories. The main application is to produce canonical orientations for Donaldson-Thomas invariants for Calabi-Yau 4-folds and sheaves with c_2=0. Finally, I will explain how the general case can be solved using flag structures, a new concept that arises naturally from the point of view cobordism categories.

This talk is part of the Differential Geometry and Topology Seminar series.

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