Doctor of Philosophy (PhD)
This thesis investigates a construction in contact topology of Legendrian submanifolds called the Legendrian product. We investigate and compute invariants for these Legendrian submanifolds, including the Thurston-Bennequin invariant and Maslov class; Legendrian contact homology for the product of two Legendrian knots; and generating family homology.
Document Availability at the Time of Submission
Release the entire work immediately for access worldwide.
Lambert-Cole, Peter, "Invariants of Legendrian products" (2014). LSU Doctoral Dissertations. 2909.