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SUMMARY:Miguel Orbegozo Rodríguez: "Monodromies of surfaces in 3-manifold
 s"
DTSTART:20260331T130000Z
DTEND:20260331T140000Z
DTSTAMP:20260412T215300Z
UID:indico-event-16349@indico.math.cnrs.fr
DESCRIPTION:A surface $S$ (compact\, connected\, oriented\, usually with b
 oundary) in a 3-manifold is a fiber surface if the 3-manifold can be obtai
 ned by taking $S \\times [0\,1]$ and gluing the two ends by a diffeomorphi
 sm $h$\, called the monodromy. The pair $(S\,h)$ carries information about
  both the link on the boundary of $S$ (for example\, whether it decomposes
  as a connected sum)\, and the 3-manifold itself (for example\, following 
 Thurston\, whether it is Seifert fibered\, toroidal\, or hyperbolic).  Ho
 wever\, these techniques are in some way restrictive because if S is not a
  fiber surface\, they do not apply (for example\, they do not even apply t
 o all knot complements in $S^3$). In this talk I will present a version of
  monodromy which is defined for all incompressible surfaces in 3-manifolds
 \, and not just fiber ones. It takes the form of a partially defined map o
 n isotopy classes of arcs and curves instead of a diffeomorphism. I will t
 hen show that with this new notion of monodromy\, most properties that can
  be extracted from fiber surfaces can also be obtained from general incomp
 ressible surfaces. This is joint work with Peter Feller and Lukas Lewark\,
  and parts of the talk will feature joint work in progress with Peter Fell
 er.\n\nhttps://indico.math.cnrs.fr/event/16349/
LOCATION:Salle 318 (IMB)
URL:https://indico.math.cnrs.fr/event/16349/
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