| organized by myself and Audrick Pyronneau |
| fridays at 2 in pma 12.166 |
| mailing list: cerftheory@utlists.utexas.edu |
| week 1 (9/12): review of Morse theory with a view towards Cerf theory (Audrick) |
| week 2 (9/19): Cerf chapter I, the stratification of function space and codimension (Abhishek, notes) |
| week 3 (9/26): Hatcher-Wagoner chapter I, pseudoisotopies and Cerf graphics (Peter) |
| week 4 (10/3): Hatcher-Wagoner chapter I, independence of trajectories (Daniel) |
| week 5 (10/10): Cerf chapter II, crossing paths (John) |
| week 6 (10/17): office hours |
| week 7 (10/24): Hatcher-Wagoner chapter V, deformations of the graphic (Adrian) |
| week 8 (10/31): the pseudoisotopy theorem (Ansel) |
| week 9 (11/7): pseudoisotopy theory applied to 4-manifolds (Audrick) |
| week 10 (11/14): the sum square move (Nathan) |
| pseudo-isotopies of compact manifolds (Hatcher-Wagoner), the foundational (english) text on pseudoisotopy theory. includes the missing page 138 from the numdam scan |
| la stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie (Cerf), english summary, the foundational (french) text on pseudoisotopy theory |
| sur les difféomorphismes de la sphère de dimension trois (Γ₄=0) (Cerf), the paper that proved the mapping class group of S³ is trivial |
| a calculus for framed links in S³ (Kirby), the paper that invented Kirby calculus |
| topological models in biology (Thom), apparently a foundational paper in singularity theory |
| pseudo-isotopy and diffeomorphisms of the 4-sphere I: loops of spheres (Gabai-Gay-Hartman) |
| you don't pronounce the f in Cerf, so it's pronounced the same as Serre (from Raphaël Cerf via Danny Ruberman) |
| surf's up by the beach boys |