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Friday, October 10, 2014 - 14:00 ,
Location: Skiles 006 ,
John Etnyre ,
Georgia Tech ,
Organizer: John Etnyre

This is the first of several talks disussing embeddings of manifolds. I will discuss some general results for smooth manifolds, but focus on embeddings of contact manifolds into other contact manifolds. Particular attentaion will be payed to embeddings of contact 3-manifolds in contact 5-manifolds. I will discuss two approaches to this last problem that are being developed jointly with Yanki Lekili.

Friday, March 28, 2014 - 13:05 ,
Location: Skiles 006 ,
Alan Diaz ,
Georgia Tech ,
adiaz@math.gatech.edu ,
Organizer:

Friday, December 6, 2013 - 14:05 ,
Location: Skiles 006 ,
Dan Margalit ,
Georgia Institute of Technology ,
Organizer: Dan Margalit

Friday, October 25, 2013 - 14:05 ,
Location: Skiles 006 ,
Dan Margalit ,
Georgia Institute of Technology ,
Organizer: Dan Margalit

Friday, October 11, 2013 - 14:00 ,
Location: Skiles 006 ,
John Etnyre ,
Georgia Tech ,
Organizer: John Etnyre

In this talk we will extend the sutured product disk decompositions from the last talk to construct foliations on some knot complements and see how this can help understand the minimal genus of Seifert surfaces for knots and links.

Friday, October 4, 2013 - 14:00 ,
Location: Skiles 006 ,
John Etnyre ,
Georgia Tech ,
Organizer: John Etnyre

Gabai has a nice criteria for recognizing fibered knots in 3-manifolds. This criteria is best described in terms of sutured manifolds and simple sutured hierarchies. We will introduce this terminology and prove Gabai's result. Given time (or in subsequent talks) we might discuss generalizations concerning constructing foliations on knot compliments and 3-manifolds in general. Such results are very useful in understanding the minimal genus representatives of homology classes in the manifold (in particular, the minimal genus of a Seifert surface for a knot).