Geodesic
A Remark about Components of Relative Teichmüller Spaces
Canadian mathematical bulletin, Tome 24 (1981) no. 2, pp. 245-246

Voir la notice de l'article provenant de la source Cambridge University Press

Our aim is to compute for all n > 2, ψ(n, h), the number of components of a certain quotient of the fixed point set of an involution in the "mod-n" Teichmuller space. This answers part of a question raised by Earle [2] and corrects and extends the answer due to Zarrow (See Theorem 2 of [6]). 
Gilman, Jane. A Remark about Components of Relative Teichmüller Spaces. Canadian mathematical bulletin, Tome 24 (1981) no. 2, pp. 245-246. doi: 10.4153/CMB-1981-039-6
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[1] 1. Earle, C. J. and Schatz, A., “Teichmuller theory for surfaces with boundary”, J. Diff. Geom., 4,. 2 (1971), 169-185. Google Scholar

[2] 2. Earle, C. J., “On the moduli of closed Riemann surfaces with symmetries”, Advances in the Theory of Riemann Surfaces, Ann. of Math. Studies, No. 66, Princeton Univ. Press (1971), 119-130. Google Scholar

[3] 3. Gilman, J., “Compact Riemann surfaces with conformai involutions”, Proc. A.M.S., 37 (1973), 105-107. Google Scholar

[4] 4. Gilman, J., “On conjugacy classes in the Teichmuller modular group”, Mich. Math. J.,. 23 (1976), 53-63. Google Scholar

[5] 5. Gilman, J., “A matrix representation for automorphisms of compact Riemann surfaces”, Lin. Alg. and its Appl,. 17 (1977), 139-147. Google Scholar

[6] 6. Zarrow, R., “On Earle's mod n relative Teichmuller spaces”, Canad. Math. Bull,. 21 (1978), 355-360. Google Scholar

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