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Geometry and Physics Seminar: Rational Open Books, Cabling, and Contact Structures
October 28 at 4:00 PM to 5:00 PMUngar Room 402
Mathematics Lecture
Professor Ken Baker
University of Miami
will present
Rational Open Books, Cabling, and Contact Structures
Wednesday, October 28, 2009, 4:00pm
Ungar Room 402
Abstract: The Giroux Correspondence is a one-to-one correspondence between contact structures up to isotopy and open book decompositions up to positive stabilization. An open book decomposition of a 3-manifold is a link with a fibration of its exterior such that each fiber is a Seifert surface for the link. Cabling a link component produces a new open book decomposition (with few exceptions). We will describe how the contact structure supported by an open book changes under cabling, generalizing Hedden's result for open books in S^3. We'll also define rational open books and discuss their cablings. This is joint work in progress with John Etnyre and Jeremy Van Horn-Morris.
University of Miami
will present
Rational Open Books, Cabling, and Contact Structures
Wednesday, October 28, 2009, 4:00pm
Ungar Room 402
Abstract: The Giroux Correspondence is a one-to-one correspondence between contact structures up to isotopy and open book decompositions up to positive stabilization. An open book decomposition of a 3-manifold is a link with a fibration of its exterior such that each fiber is a Seifert surface for the link. Cabling a link component produces a new open book decomposition (with few exceptions). We will describe how the contact structure supported by an open book changes under cabling, generalizing Hedden's result for open books in S^3. We'll also define rational open books and discuss their cablings. This is joint work in progress with John Etnyre and Jeremy Van Horn-Morris.
