### The Birman–Hilden theory

#### Works connected to ~~Hugh Michael Hilden~~

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On the mapping class groups of closed surfaces as covering spaces,” pp. 81–115 in Advances in the theory of Riemann surfaces (Stony Brook, NY, 1969). Edited by L. V. Ahlfors, L. Bers, H. M. Farkas, R. C. Gunning, I. Kra, and H. E. Rauch. Annals of Mathematics Studies 66. Princeton University Press, 1971. MR 0292082 Zbl 0217.48602 incollection

: “Isotopies of homeomorphisms of Riemann surfaces and a theorem about Artin’s braid group,” Bull. Am. Math. Soc. 78 : 6 (November 1972), pp. 1002–1004. MR 0307217 Zbl 0255.57002 article

: “Lifting and projecting homeomorphisms,” Arch. Math. (Basel) 23 : 1 (1972), pp. 428–434. MR 0321071 Zbl 0247.55001 article

: “
The homeomorphism problem for __\( S^3 \)__,”
Bull. Am. Math. Soc.
79 : 5
(September 1973),
pp. 1006–1010.
MR
0319180
Zbl
0272.57001
article

On isotopies of homeomorphisms of Riemann surfaces,” Ann. Math. (2) 97 : 3 (May 1973), pp. 424–439. MR 0325959 Zbl 0237.57001 article

: “
Heegaard splittings of branched coverings of __\( S^3 \)__,”
Trans. Am. Math. Soc.
213
(November 1975),
pp. 315–352.
MR
0380765
Zbl
0312.55004
article

Erratum to ‘Isotopies of homeomorphisms of Riemann surfaces’,” Ann. of Math. 185 : 1 (2017), pp. 345. MR 3583359 Zbl 06686591 article

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