On central extensions of mapping class groups

G. Masbaum; J. D. Roberts

doi:10.1007/bf01444490

journal article May 01, 1995

On central extensions of mapping class groups

G. Masbaum J. D. Roberts

Mathematische Annalen Vol. 302 No. 1 pp. 131-150 · Springer Science and Business Media LLC

View at Publisher Save 10.1007/bf01444490

Topics

No keywords indexed for this article. Browse by subject →

References

35

[1]

M.F. Atiyah. The logarithm of the Dedekind ?-function, Math. Ann.278 (1987) 335?380 10.1007/bf01458075

[2]

Topological quantum field theory

Michael F. Atiyah

Publications Mathématiques de l'IHÉS 1989 10.1007/bf02698547

[3]

M.F. Atiyah. On framings of 3-manifolds, Topology29 (1990), 1?7 10.1016/0040-9383(90)90021-b

[4]

J. Barge, E. Ghys. Cocycles d'Euler et de Maslov, Math. Ann.294 (1992) 235?265 10.1007/bf01934324

[5]

C. Blanchet, N. Habegger, G. Masbaum, P. Vogel. Three-manifold invariants derived from the Kauffman bracket, Topology31 (1992), 685?699 10.1016/0040-9383(92)90002-y

[6]

C. Blanchet, N. Habegger, G. Masbaum, P. Vogel. Topological quantum field theories derived from the Kauffman bracket, to appear in Topology (Nantes Preprint May 1992) 10.1016/0040-9383(92)90002-y

[7]

R.A. Fenn, C.P. Rourke. Racks and Links in Codimension Two, Journal of Knot Theory and its Ramifications, Vol. 1 No. 4 (1992) 343?406 10.1142/s0218216592000203

[8]

D.S. Freed, R.E. Gompf. Computer calculations of Witten's 3-manifold invariant, Comm. Math. Phys.141 (1991), 79?117 10.1007/bf02100006

[9]

S. Gervais. Th�se, Nantes, January 1994

[10]

S. Gervais. Presentations and extensions of mapping class groups, Nantes Preprint May 1994

[11]

J. Harer. Th� second homology group of the mapping class group of an orientable surface, Invent. Math.72 (1983), 221?239 10.1007/bf01389321

[12]

J. Harer. The Cohomology of the Moduli Space of Curves, in: E. Sernesi (Ed.), Theory of Moduli, Springer LNM 1337 10.1007/bfb0082808

[13]

A. Hatcher, W. Thurston. A presentation of the mapping class group of a closed orientable surface, Topology19 (1980), 221?237 10.1016/0040-9383(80)90009-9

[14]

State models and the jones polynomial

Louis H. Kauffman

Topology 1987 10.1016/0040-9383(87)90009-7

[15]

R.C. Kirby, P. Melvin. Dedekind sums, mu invariants and the signature cocycle Math. Ann.299, 231?267 (1994) 10.1007/bf01459782

[16]

T. Kohno. Topological invariants for 3-manifolds using representations of mapping class groups I, Topology31 (1992), 203 10.1016/0040-9383(92)90016-b

[17]

W.B.R. Lickorish. Three-manifolds and the Temperley-Lieb algebra, Math. Ann.290 (1990), 657?670 10.1007/bf01459265

[18]

W.B.R. Lickorish. Calculations with the Temperley-Lieb algebra, Comm. Math. Helv.67 (1992), 571?591 10.1007/bf02566519

[19]

W.B.R. Lickorish. Skeins and handlebodies, Pac. J. Math. 159 No. 2 (1993) 337?350 10.2140/pjm.1993.159.337

[20]

N. Lu. Homeomorphisms of a handlebody and Heegaard splittings of the 3-sphereS 3, Top. Proc.13 (1988) 325?350

[21]

N. Lu. A simple proof of the fundamental theorem of Kirby calculus on links, Trans. AMS, vol 331 No 1 (1992) 143?156 10.1090/s0002-9947-1992-1065603-2

[22]

G. Masbaum, P. Vogel. Verlinde formulae for surfaces with spin structure, Proceedings of the Joint US-Israel workshop on geometric topology, Haifa, June 1992. Contemp. Math.164, 119?137 (1994) 10.1090/conm/164/01589

[23]

W. Meyer. Die Signatur von Fl�chenb�ndeln, Math. Ann.201 (1973), 239?264 10.1007/bf01427946

[24]

H. Morton. Invariants of links and 3-manifolds from skein theory and from quantum groups, in Topics in Knot Theory, ed. Bozh�y�k, Kluwer (to appear)

[25]

H. Morton, P. Strickland. Satellites and surgery invariants, in ?Knots 90? ed. A. Kawauchi, de Gruyter (1992).

[26]

Invariants of 3-manifolds via link polynomials and quantum groups

N. Reshetikhin, V. G. Turaev

Inventiones mathematicae 1991 10.1007/bf01239527

[27]

J.D. Roberts. Skeins and mapping class groups, Math. Proc. Camb. Phil. Soc.115 (1994) 53?77 10.1017/s0305004100071917

[28]

J.D. Roberts. Ph.D. Thesis, Cambridge, April 1994

[29]

R. Stong. Notes on cobordism theory, Princeton Math. Notes, PUP (1958)

[30]

S. Suzuki. On homeomorphisms of a 3-dimensional handlebody, Canad. J. Math.29 (1977) 111?124 10.4153/cjm-1977-011-1

[31]

V. Turaev, H. Wenzl, Quantum invariants of 3-manifolds associated with classical simple Lie algebras, Int. J. Math. Vol. 4 No. 2 (1993) 323?358 10.1142/s0129167x93000170

[32]

B. Wajnryb. A simple presentation for the mapping class group of an orientable surface, Israel J. Math.45 (1983), 157?174 10.1007/bf02774014

[33]

K. Walker. On Witten's 3-manifold invariants, preprint (1991)

[34]

H. Wenzl. Braids and Invariants of 3-manifolds, Inv. Math.114 (1993), 235?275 10.1007/bf01232670

[35]

E. Witten. Quantum field theory and the Jones polynomial, Comm. Math. Phys.121 (1989), 351?399 10.1007/bf01217730

Metrics

27

Citations

35

References

Details

Published: May 01, 1995
Vol/Issue: 302(1)
Pages: 131-150
License: View

Authors

School of Animal Biology The UWA Institute of Agriculture The University of Western Australia Perth WA Australia

Cite This Article

G. Masbaum, J. D. Roberts (1995). On central extensions of mapping class groups. Mathematische Annalen, 302(1), 131-150. https://doi.org/10.1007/bf01444490

On central extensions of mapping class groups

You May Also Like