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UID:7506@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20170904T140000
DTEND;TZID=Europe/Paris:20170904T150000
DTSTAMP:20241120T204350Z
URL:https://www.i2m.univ-amu.fr/evenements/computing-trisections-of-4-mani
 folds/
SUMMARY:Stephan Tillmann (University of Sydney): Computing trisections of 4
 –manifolds
DESCRIPTION:Stephan Tillmann: Gay and Kirby recently generalised Heegaard s
 plittings of 3-manifolds to trisections of 4-manifolds. A trisection descr
 ibes a 4–dimensional manifold as a union of three 4–dimensional handle
 bodies. The complexity of the 4–manifold is captured in a collection of 
 curves on a surface\, which guide the gluing of the handelbodies.\n\nAfter
  defining trisections and giving key examples and applications\, I will de
 scribe an algorithm to compute trisections of 4–manifolds using arbitrar
 y triangulations as input. This results in the first explicit complexity b
 ounds for the trisection genus of a 4–manifold in terms of the number of
  pentachora (4–simplices) in a triangulation.\n\nThis is joint work with
  Mark Bell\, Joel Hass and Hyam Rubinstein.\n\n\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Stephan_Tillmann.jpg
CATEGORIES:Séminaire,Dynamique et Topologie
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DTSTART:20170326T030000
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