Celebratio Mathematica

Joan S. Birman

The Birman–Hilden theory

Works connected to Hugh Michael Hilden

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J. S. Birman and H. M. Hilden: “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

J. S. Birman and H. M. Hilden: “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

J. S. Birman and H. M. Hilden: “Lift­ing and pro­ject­ing homeo­morph­isms,” Arch. Math. (Basel) 23 : 1 (1972), pp. 428–​434. MR 0321071 Zbl 0247.​55001 article

J. S. Birman and H. M. Hilden: “The homeo­morph­ism prob­lem for \( S^3 \),” Bull. Am. Math. Soc. 79 : 5 (September 1973), pp. 1006–​1010. MR 0319180 Zbl 0272.​57001 article

J. S. Birman and H. M. Hilden: “On iso­top­ies of homeo­morph­isms of Riemann sur­faces,” Ann. Math. (2) 97 : 3 (May 1973), pp. 424–​439. MR 0325959 Zbl 0237.​57001 article

J. S. Birman and H. M. Hilden: “Hee­gaard split­tings of branched cov­er­ings of \( S^3 \),” Trans. Am. Math. Soc. 213 (November 1975), pp. 315–​352. MR 0380765 Zbl 0312.​55004 article

J. S. Birman and H. M. Hilden: “Er­rat­um to ‘Iso­top­ies of homeo­morph­isms of Riemann sur­faces’,” Ann. of Math. 185 : 1 (2017), pp. 345. MR 3583359 Zbl 06686591 article