Ruth Elke Lawrence

Einstein Institute of Mathematics,
Hebrew University, Givat Ram,
Manchester Bldg, Rm 5
Jerusalem 91904 ISRAEL

Office phone: +972-2-6586213
Office FAX: +972-2-5630702


Research students

Jerusalem Mathematics Colloquium

Informal workshop on manifold invariants and TQFT

Research interests:
Combinatorics, Geometry, Physics and Topology


[31] Artin covers of the braid group, -- joint with Meirav Amram and Uzi Vishne (2009).

[30] A free differential Lie algebra for the interval, -- joint with Dennis Sullivan arXiv:math.AT/0610949 (2006); latest version (2010).

[29] On Habiro's cyclotomic expansions of the Ohtsuki invariant, -- joint with Ofer Ron arXiv:math.GT/0501549 (2005); latest version, J. Knot Th. Ramif. 15(6) (2006) 661-680

[28] Some computations of Ohtsuki series, -- joint with Nori Jacoby Advances in Topological Quantum Field Theory eds J. Bryden, Kluwer (2004) 53-70.

[27] A rational surgery formula for the LMO invariant, --joint with Dror Bar-Natan Israel J. Math. 140 (2004) 29-60

[26] The Tait conjectures, in `The Changing Face of Geometry' ed Chris Prichard CUP (2003) 450-454

[25] The PSU(3) invariant of the Poincare homology sphere, Topology and Its Applications 127 (2003) 153-168

[24] Modular forms and quantum invariants of 3-manifolds, Asian J. Math 3 (1999) 93-107. Special volume dedicated to Sir Michael Atiyah on the occasion of his 70th birthday.

[23] On Ohtsuki's invariants of 3-manifolds, J. Knot Th. Ramif. 8 (1999) 1049-1063.

[22] Witten-Reshetikhin-Turaev invariants of Seifert manifolds, -- joint with Lev Rozansky Commun. Math. Phys.205 (1999) 287-314.

[21] Yang-Baxter type equations and posets of maximal chains, J. Comb. Th.79 (1997) 68-104.

[20] Braid group representations associated with sl_m, J. Knot Th. Ramif. 5 (1996) 637-660.

[19] Witten-Reshetikhin-Turaev invariants of 3-manifolds as holomorphic functions, `Proceedings on Geometry and Physics, Aarhus, Denmark', Eds. J.E. Andersen, J. Dupont, H. Pedersen, A. Swann Lecture Notes in Pure and Applied Mathematics 184 (1996) 363-377.

[18] An Introduction to Topological Field Theory, Proc. Symp. Appl. Math. 51 (1996) 89-128.

[17] Asymptotic expansions of Witten-Reshetikhin-Turaev invariants for some simple 3-manifolds, Invited contribution for the Special Issue on `Quantum geometry and diffeomorphism invariant quantum field theory' J. Math. Phys. 36 (1995) 6106-6129.

[16] Algebras and triangle relations, J. Pure Appl. Alg. 100 (1995) 43-72.

[15] Triangulations, categories and extended topological field theories, Quantum Topology, Eds. R. Baadhio and L.H. Kauffman, World Scientific (1993) 191-208.

[14] Fluorescent transfer of light in dyed materials, -- joint paper with S.D. Howison, SIAM J. Appl. Math. 53 (1993) 447-458.

[13] A functorial approach to the one-variable Jones Polynomial, J. Diff. Geom. 37 (1993) 689-710.

[12] On algebras and triangle relations, `Proc. 2nd. Int. Conf. on Topological and Geometric Methods in Field Theory, Turku, FINLAND, 26th May-1st June, 1991.' Eds. J. Mickelsson, O. Pekonen, World Scientific (1992) 429-447.

[11] A presentation for Manin and Schechtman's higher braid groups, MSRI preprint 04129--91 (April 1991)

[10] A note on two-row Hecke algebra representations, Harvard preprint (1991)

[9] Connections between CFT and Topology via Knot Theory, Lecture Notes in Physics 375 (1991) 245-254.

[8] The homological approach applied to higher representations, Harvard preprint (1990)

[7] Homological representations of the Hecke algebra, Commun. Math. Phys. 135 (1990) 141-191.

[6] Topological approach to the Iwahori-Hecke algebra, Int. J. Mod. Phys. A5 (1990) 3213-3219.

[5] A universal link invariant, `Proceedings of the IMA conference on Mathematics-Particle Physics Interface, Oxford, England, 12th-14th September, 1988.' Eds. D.G.~Quillen, G.B.~Segal, Tsou~S.T., Oxford University Press (1990) 151--156.

[4] Homology representations of braid groups, D.Phil. Thesis, Univerity of Oxford (June 1989)

[3] Universal Link Invariants using Quantum Groups, `Proceedings of the XVII Int. Conf. on Differential Geometric Methods in Theoretical Physics, Chester, England, 15th-19th August, 1988.' Ed. A. Solomon, World Scientific (1989) 55-63.

[2] On families of self-adjoint operators, dissertation accepted by Oxford University in support of application to transfer to Advanced Student status, to be published later in modified form. (1987)

[1] Appendix, "Elliptic Curves", in GTM 111 Springer-Verlag (1986)

[0] Holomorphic invariants of 3-manifolds and q-gamma functions, -- in preparation.

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Last modified June 11th, 2000.
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