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Talks by Jan Swoboda

The Yang-Mills gradient flow and its variants

Max-Planck-Institut für Mathematik

We review our construction of a Morse homology theory for the Yang-Mills gradient flow in two dimensions and its relation to Weber's heat flow homology. We discuss compactness and Morse-Smale transversality for the perturbed flow, which invokes a novel $L^2$ local slice theorem due to Mrowka-Wehrheim. Finally we show how a modified Yang-Mills functional leads to an "elliptic Yang-Mills flow" for which a Floer type homology theory is currently under construction. (Last part in joint work with R. Janner).

Seminario de Matemáticas (1ª Planta, Sección de Matemáticas)

Jan Swoboda

Max-Planck-Institut für Mathematik (Alemania)

Number of talks
1
Number of visits
1
Last visit
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