Geometry and physics of knot homology

introduction

• knot homology
• A-polynomial
• quantization
• categorification

lectures by Gukov

• 4 lectures at MPI by Gukov
  • 4/17, 4/22, 4/24, 4/25
• notes taken at https://docs.google.com/file/d/0B8XXo8Tve1cxYzlJUk5aU21EZTA/edit

lecture 1

• knot polynomials
  • Jones
  • Alexander
  • HOMFLY-PT

lecture 2

• knot homology
  • Khovanov homology - Jones
  • knot Floer homology - Alexander
  • triply graded homology - HOMFLY

memo

• http://www.birs.ca/events/2014/5-day-workshops/14w5073

related items

• A-polynomial, B-model, and Quantization
• knot invariants from Lie algebras

expositions

• Piotr Sułkowski physics and geometry of knot homologies
• Gukov, Sergei, and Ingmar Saberi. 2012. “Lectures on Knot Homology and Quantum Curves.” arXiv:1211.6075 [hep-Th] (November 26). http://arxiv.org/abs/1211.6075.
• Sergei Gukov, Quantization and Categorification, Lecture 4. 2012. http://www.youtube.com/watch?v=e4ETGWgaZDY&feature=youtube_gdata_player.