COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > On the HOMFLY invariant of algebraic knots

## On the HOMFLY invariant of algebraic knotsAdd to your list(s) Download to your calendar using vCal - Vivek Shende, Princeton
- Tuesday 26 January 2010, 16:00-17:00
- MR 4.
If you have a question about this talk, please contact Jake Rasmussen. Note unusual date A complex plane curve singularity determines, by taking the boundary of a small neighborhood, an iterated torus link in the three-sphere. The algebraic geometry of the singularity and the topology of the link are intimately related; for instance, Zariski showed that the series of blowups needed to resolve the singularity carries data equivalent to the isotopy class of the link. More recently, Campillo, Delgado, and Gusein-Zade gave a formula equating the Alexander polynomial of the link to a generating series populated by Euler characteristics of spaces of functions defined at the singularity. I will state a conjectural generalization of their formula: the HOMFLY invariant of the link of a plane curve singularity is a generating function of Euler characteristics of moduli spaces of schemes supported at the singularity. I will discuss the evidence for the conjecture, and show that it holds for torus knots. The talk presents joint work with Alexei Oblomkov. This talk is part of the Differential Geometry and Topology Seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- Differential Geometry and Topology Seminar
- Hanchen DaDaDash
- Interested Talks
- MR 4
- School of Physical Sciences
- bld31
Note that ex-directory lists are not shown. |
## Other listsDAMTP info aggregator Occasional Nuclear Energy Seminars Synthetic Biology Strategic Research Initiative## Other talksEmissions and Chemistry of air pollution in London and Beijing: a tale of two cities. TODAY Adrian Seminar: "Synaptic plasticity and memory" Designer Babies or Children of Frankenstein? Genome Editing and its Side Effects Public innovation: can innovation methods help solve social challenges? Localization estimates for hypoelliptic equations Superconformal quantum mechanics and integrability |