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Organizing Committee

Keiko Kawamuro
University of Iowa

Dan Margalit
Georgia Institute of Technology

Abstract

This workshop will focus on recent advances in combinatorial link homology theories (e.g., Heegaard-Floer homology and Khovanov homology), especially as they apply to questions about braids and, more generally, mapping class groups of surfaces. There will be short mini-courses on

Combinatorial knot Floer homology, with applications to contact geometry,
Braid foliations and the Jones conjecture,
Nielsen-Thurston theory, and
Garside theory and a linear order on the braid group,

along with a number of research and expository talks. The talks will emphasize the role that computation and experiment have thus far played in stating key conjectures and establishing key results. The workshop will culminate in a computational problem session, in which participants will discuss promising directions for future exploration and indicate which computations may be most useful in that exploration.

As the main goal of the workshop is to facilitate interaction across a broad swath of the low-dimensional topology community, all talks will be at a level appropriate for "non-experts." Graduate students and early career researchers interested in learning the big open problems in this area--as well as the main techniques at hand to approach them--are particularly encouraged to apply.

This workshop is partially funded by NSF CAREER award DMS-1151671.

Combinatorial Link Homology Theories, Braids, and Contact Geometry

Image Courtesy: John Baldwin

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Lecture Videos

Combinatorial tangle Floer homology

Ina Petkova

Rice University

August 8, 2014 • 12:00 AM

Combinatorial Link Homology Theories, Braids, and Contact Geometry

Combinatorial Link Homology Theories, Braids, and Contact Geometry

Aug 4 - 8, 2014

Organizing Committee

Abstract

Lecture Videos

Combinatorial tangle Floer homology

Computational complexity of problems in 3-dimensional topology

Divide knots vs L-space knots

Knot Floer homologies

Rectangular Diagrams and Jones' Conjecture I- monotonic simplification and ...

Rectangular Diagrams and Jones' Conjecture II- Legendrian graphs, bypasses ...

Teichmueller polynomials for free-by-cyclic groups and clique polynomials o...

Minicourse- Braid Foliations I

Minicourse- Braid Foliations II

Minicourse- Garside structure and Dehornoy ordering of braid groups for top...

Minicourse- Garside structure and Dehornoy ordering of braid groups for top...

Minicourse- Grid Diagrams and Contact Geometry I

Minicourse- Grid Diagrams and Contact Geometry II

Minicourse- Nielsen-Thurston theory I

Minicourse- Nielsen-Thurston theory II

Combinatorial Link Homology Theories, Braids, and Contact Geometry

Aug 4 - 8, 2014

Organizing Committee

Abstract

Confirmed Speakers & Participants

Lecture Videos

Combinatorial tangle Floer homology

Computational complexity of problems in 3-dimensional topology

Divide knots vs L-space knots

Knot Floer homologies

Rectangular Diagrams and Jones' Conjecture I- monotonic simplification and ...

Rectangular Diagrams and Jones' Conjecture II- Legendrian graphs, bypasses ...

Teichmueller polynomials for free-by-cyclic groups and clique polynomials o...

Minicourse- Braid Foliations I

Minicourse- Braid Foliations II

Minicourse- Garside structure and Dehornoy ordering of braid groups for top...

Minicourse- Garside structure and Dehornoy ordering of braid groups for top...

Minicourse- Grid Diagrams and Contact Geometry I

Minicourse- Grid Diagrams and Contact Geometry II

Minicourse- Nielsen-Thurston theory I

Minicourse- Nielsen-Thurston theory II

Confirmed Speakers & Participants