## Kerler, Thomas

 Office: MW 448 (Columbus) Phone: 614-292-5252 (Columbus) Email: javascript required Website: http://www.ymc.osu.edu OSU ID: kerler.2 Online Preprints: Link Research Areas: 3-dim Manifolds, Knots, Topological Quantum Field Theories, Representations of Mapping Class GroupsAlgebraTopology

Office Hours
by Appointment

Selected Publications

1. "The Lawrence–Krammer–Bigelow representations of the braid groups via $U_q(sl_2)$". Adv. Math. 228 (2011), 1689-1717(with C. Jackson)
2. "Bridged Links and Tangle Presentations of Cobordism Categories". Adv. Math. 141 (1999), no. 2, 207-281
3. "On the connectivity of cobordisms and half-projective TQFT's". Commun. Math. Phys. 198 (1998), no. 3, 535-590.
4. "Quantumgroups, Quantumcategories and Quantumfieldtheory" Lecture Notes in Mathematics 1542, Springer Verlag, 1993 viii + 431 pp. (Second Edition, 1995) (with J.Fröhlich)
5. " Non-semisimple Topological Quantm Field Theories for 3-Manifolds with Corners". Lecture Notes in Mathematics 1765, Springer Verlag, 2001. vi + 376 pp.(with V. Lyubashenko)
6. "Homology TQFT's and the Alexander-Reidemeister Invariant of 3-Manifolds via Hopf Algebras and Skein Theory". Canad. J. Math. 55 (2003) 766-821.