A classic and seminal paper in contact geometry. Translated from French to English.
Notes on Giroux’s 1991 paper, “Convexite en topologie de contact”
Basic results and the power of convex surfaces.
Notes on Eliashberg’s 1992 paper, “Contact 3-manifolds twenty years since J. Martinet’s work”
Details on the significance of the paper, overtwisted discs, characteristic foliations, and contact structures.
Notes on Eliashberg’s 1989 paper, “Classification of overtwisted contact structures on 3-manifolds”
My attempt to flesh out a few of the details.
Basic ideas about laminations
Based on Casson and Bleiler’s book.
Hyperbolic structures with prescribed holonomy, Melbourne Jan 2006
In January 2006 I gave a talk on my masters work at the conference “Manifolds at Melbourne”. Slides are available.
Masters thesis
In September 2005 I completed my masters at the University of Melbourne, under Craig Hodgson, entitled “From Algebra to Geometry: A Hyperbolic Odyssey”. A pdf is available.
Honours thesis
At the University of Melbourne I completed an honours thesis under Craig Hodgson, studying A-polynomials, representation varieties of 3-manifolds and their relationship with hyperbolic geometry. A pdf is available.