267 citations
- City University of New YorkUS26 papers
- Hunter CollegeUS11 papers
- The Graduate Center, CUNYUS10 papers
- University of Southern CaliforniaUS10 papers
- Donostia International Physics CenterES9 papers
- Kirtland Air Force BaseUS9 papers
- University of New MexicoUS6 papers
- University of British ColumbiaCA5 papers
- Université de Bretagne SudFR4 papers
- U.S. Air Force Research Laboratory Space Vehicles Directorate4 papers
- Utah State UniversityUS4 papers
- Australian National UniversityAU3 papers
10 papers · 1 filter
Non-semisimple Levin-Wen Models and Hermitian TQFTs from quantum (super)groups
Nathan Geer, Aaron D. Lauda, Bertrand Patureau-Mirand +1
We develop the categorical context for defining Hermitian non-semisimple TQFTs. We prove that relative Hermitian modular categories give rise to modified Hermitian WRT-TQFTs and pr…
A Hermitian TQFT from a non-semisimple category of quantum sl(2)-modules
Nathan Geer, Aaron D. Lauda, Bertrand Patureau-Mirand +1
We endow a non-semisimple category of modules of unrolled quantum sl(2) with a Hermitian structure. We also prove that the TQFT constructed in arXiv:1202.3553 using this category i…
A braid group action on a -DG homotopy category
You Qi, Joshua Sussan, Yasuyoshi Yonezawa
We construct a braid group action on a homotopy category of -DG modules of a deformed Webster algebra.
On some -differential graded link homologies
You Qi, Joshua Sussan
We show that the triply graded Khovanov-Rozansky homology of knots and links over a field of positive odd characteristic descends to an invariant in the homotopy category finit…
Curved Rickard complexes and link homologies
Sabin Cautis, Aaron D. Lauda, Joshua Sussan
Rickard complexes in the context of categorified quantum groups can be used to construct braid group actions. We define and study certain natural deformations of these complexes wh…
Braid group actions from categorical symmetric Howe duality on deformed Webster algebras
Mikhail Khovanov, Aaron D. Lauda, Joshua Sussan +1
We construct a 2-representation categorifying the symmetric Howe representation of using a deformation of an algebra introduced by Webster. As a consequence, we o…