The topology of the relative character varieties of a quadruply-punctured sphere

Experimental Mathematics

Volumn 8, Issue 1, 1999, Pages 85-103

  Benedetto, Robert L ^a   Goldman, William M ^b  

^a UNIVERSITY OF ROCHESTER   (United States)

^b University of Maryland   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033245668     PISSN: 10586458     EISSN: 1944950X     Source Type: Journal    
DOI: 10.1080/10586458.1999.10504391     Document Type: Article

References (15)

1. R. Benedetto, Relative character varieties of representations of the fundamental group of the four-punctured sphere in SL(2, ℝ), Senior thesis, Harvard University, 1993.
2. R. Fricke and F. Klein, Vorlesungen iiber die theorie der automorphen Functionen, vol. 1, Teubner, Leipzig, 1897. Reprinted by Johnson Reprint, New York, and Teubner, Stuttgart, 1965.
3. A. Galitzer, The moduli space of polygon linkages in the 2-sphere, doctoral dissertation, University of Maryland, 1997.
4. W. M. Goldman, “Geometric structures on manifolds and varieties of representations”, pp. 169-198 in Geometry of group representations (Boulder, CO, 1987), edited by W. M. Goldman and A. R. Magid, Contemporary Mathematics 47, Amer. Math. Soc., Providence, RI, 1988.
5. W. M. Goldman, “Topological components of spaces of representations”, Invent. Math. 93: 3 (1988), 557-607.
6. W. M. Goldman, “Ergodic theory on moduli spaces”, Ann. of Math. (2) 146: 3 (1997), 475-507.
7. M. Kapovich and J. Millson, “On the moduli space of polygons in the Euclidean plane”, J. Differential Geom. 42: 1 (1995), 133-164.
8. P. A. Kirk and E. P. Klassen, “Representation spaces of Seifert fibered homology spheres”, Topology 30: 1 (1991), 77-95.
9. A. Lubotzky and A. R. Magid, Varieties of representations of finitely generated groups, Mem. Amer. Math. Soc. 336, Amer. Math. Soc., Providence, 1985.
10. W. Magnus, “Rings of Fricke characters and automorphism groups of free groups”, Math. Z. 170: 1 (1980), 91-103.
11. J. W. Morgan and P. B. Shalen, “Valuations, trees, and degenerations of hyperbolic structures, I”, Ann. of Math. (2) 120: 3 (1984), 401-476.
12. M. Phillips, S. Levy, and T. Munzner, “Geomview: an interactive geometry viewer”, Notices Amer. Math. Soc. 40 (October 1993), 985-988. See http://www.geom.umn.edu/locate/geomview.
13. C. Procesi, “The invariant theory ofnxn matrices”, Advances in Math. 19: 3 (1976), 306-381.
14. M. S. Raghunathan, Discrete subgroups of Lie groups, Ergebnisse der Mathematik und ihrer Grenzgebiete 68, Springer, New York, 1972.
15. A. Weil, “Remarks on the cohomology of groups”, Ann. of Math. (2) 80 (1964), 149-157.