Categorification
Low-dimensional topology
Topological quantum field theories (TQFTs)
Quantum groups
Higher-dimensional algebra
Quantum gravity
| Winter 2012/13 Term 1 | Differential Calculus (Math 104) Section 109 |
S. Bennoun and H. Pfeiffer:
Weak Bialgebras of Fractions,
Preprint arXiv:1212.5775.
H. Pfeiffer:
Weak Hopf Algebras unify the Hennings-Kauffman-Radford and the Reshetikhin-Turaev invariant,
Preprint arXiv:1105.0434.
H. Pfeiffer:
Fusion categories in terms of graphs and relations,
Quantum Topology
2, No. 4 (2011) 339-379,
arXiv:0912.0342.
H. Pfeiffer:
Finitely semisimple spherical categories and modular categories are self-dual,
Adv. Math.
221, No. 5 (2009) 1608-1652,
arXiv:0806.2903,
MR 2522429.
H. Pfeiffer:
Tannaka-Krein reconstruction and a characterization of modular tensor categories,
J. Alg.
321, No. 12 (2009) 3714-3763,
arXiv:0711.1402,
MR 2517811.
A. D. Lauda, H. Pfeiffer:
Open-closed TQFTs extend Khovanov homology from links to tangles,
J. Knot Th. Ramif.
18, No. 1 (2009) 87-150,
arXiv:math/0606331,
MR 2490019.
A. D. Lauda, H. Pfeiffer:
State sum construction of two-dimensional open-closed Topological Quantum Field Theories,
J. Knot Th. Ramif.
16, No. 9 (2007) 1121-1163,
arXiv:math/0602047,
MR 2375819.
A. D. Lauda, H. Pfeiffer:
Open-closed strings: Two-dimensional extended TQFTs and Frobenius algebras,
Topology Appl.
155, No. 7 (2008) 623-666,
arXiv:math/0510664,
MR 2395583.
Click here for all publications.
Canonical Bases for Objects of SL(2) Fusion Categories - How to Get Rid of "q"
(New Perspectives in Topological Field Theories, Hamburg, 2012/08/28)
Combinatorial characterization of fusion categories
(Representation Theoretic and Categorical Methods, Erlangen, 2011/11/01)
Combinatorial characterization of fusion categories
(XIXth Oporto Meeting on Geometry, Topology and Physics, Faro, 2010/07/22)
Fusion categories in terms of graphs and relations
(AMS Spring Central Section Meeting, St Paul, 2010/04/10)
Fusion categories in terms of graphs and relations
(Columbia University, 2009/12/04; Stony Brook, 2009/12/08)
The modular categories associated with Uq(sl2) in terms of diagrams (Introduction)
(Columbia University, 2009/12/03)
Reconstructing algebras from monoidal categories
(University of Hamburg, 2009/06/18)
Two-dimensional TQFTs and extended TQFTs (Introduction)
(University of Hamburg, 2009/06/17)
Tannaka-Krein reconstruction and modular tensor categoriss
(ECM Satellite Conference on Noncommutative Methods, Brussels, 2008/07/23)
Two-dimensional extended TQFTs and categorification
(Oxford, 2008/07/17)
Invariants of 3-dimensional Kirby calculus and representation theory
(UBC Vancouver, 2008/03/19)
Where is the braided monoidal 2-category?
(XVIth Oporto Meeting on Geometry, Topology and Physics, Faro, 2007/07/07)
Two-dimensional extended Topological Quantum Field Theories and Khovanov homology
(University of Aarhus, 2006/10/10; UBC Vancouver, 2006/11/02; University of Münster, 2006/11/15;
University of Nottingham, 2007/05/22)
Tangle homology from 2d extended TQFTs
("Categorification in Algebra and Topology 2006", Uppsala, 2006/09/07)
Two-dimensional extended Topological Quantum Field Theories and Khovanov homology
(Washington University, 2006/02/28; University of Chicago, 2006/04/14 and 2006/04/17;
University of Potsdam, 2006/08/10)
Department of Mathematics
The University of British Columbia
121-1984 Mathematics Road
Vancouver, BC, V6T 1Z2
CANADA
| Phone: | +1 (604) 822-8044 |
| Fax: | +1 (604) 822-6074 |
| Email: | pfeiffer(at)math.ubc.ca |
| Office: | MATX 1115 |