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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Invariants of loops of 2-spheres and diffeomorphisms of the 4-sphere

David T. GAY
University of Georgia
https://www.math.uga.edu/directory/people/david-gay

Date(s) : 03/10/2025   iCal
11h00 - 12h00

This is a report on joint work with David Gabai and Daniel Hartman in which we define invariants of homotopy classes of loops of embeddings of 2-spheres in connected sums of S^2xS^2’s and use this to study isotopy classes of diffeomorphisms of S^4. The essential issue is to look at Cerf, Hatcher-Wagoner, and Igusa’s work on similar problems in higher dimensions and see how much we can salvage in dimension 4.

Emplacement
Saint-Charles - FRUMAM (2ème étage)

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