Algebraic & Geometric Topology Volume 16, issue 5 (2016)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Other MSP Journals

Center of the Goldman Lie algebra

Arpan Kabiraj

Algebraic & Geometric Topology 16 (2016) 2839–2849

DOI: 10.2140/agt.2016.16.2839

Bibliography

1	A F Beardon, The geometry of discrete groups, 91, Springer (1983) MR698777
2	M Chas, Combinatorial Lie bialgebras of curves on surfaces, Topology 43 (2004) 543 MR2041630
3	M Chas, Minimal intersection of curves on surfaces, Geom. Dedicata 144 (2010) 25 MR2580416
4	M Chas, The Goldman bracket and the intersection of curves on surfaces, from: "Geometry, groups and dynamics" (editors C S Aravinda, W M Goldman, K Gongopadhyay, A Lubotzky, M Mj, A Weaver), Contemp. Math. 639, Amer. Math. Soc. (2015) 73 MR3379820
5	M Chas, S Gadgil, The Goldman bracket determines intersection numbers for surfaces and orbifolds, preprint (2012) arXiv:1209.0634
6	M Chas, F Krongold, An algebraic characterization of simple closed curves on surfaces with boundary, J. Topol. Anal. 2 (2010) 395 MR2718130
7	M Chas, F Krongold, Algebraic characterization of simple closed curves via Turaev’s cobracket, J. Topol. 9 (2016) 91 MR3465841
8	P Etingof, Casimirs of the Goldman Lie algebra of a closed surface, Int. Math. Res. Not. 2006 (2006) MR2250002
9	B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
10	W M Goldman, Invariant functions on Lie groups and Hamiltonian flows of surface group representations, Invent. Math. 85 (1986) 263 MR846929
11	S Katok, Fuchsian groups, University of Chicago Press (1992) MR1177168
12	N Kawazumi, Y Kuno, The Goldman–Turaev Lie bialgebra and the Johnson homomorphisms, preprint (2013) arXiv:1304.1885
13	J G Ratcliffe, Foundations of hyperbolic manifolds, 149, Springer (2006) MR2249478
14	V G Turaev, Skein quantization of Poisson algebras of loops on surfaces, Ann. Sci. École Norm. Sup. 24 (1991) 635 MR1142906
15	S Wolpert, On the symplectic geometry of deformations of a hyperbolic surface, Ann. of Math. 117 (1983) 207 MR690844