In:
International Mathematics Research Notices, Oxford University Press (OUP), Vol. 2020, No. 10 ( 2020-05-18), p. 3084-3099
Abstract:
We show that any isomorphism between mapping class groups of orientable infinite-type surfaces is induced by a homeomorphism between the surfaces. Our argument additionally applies to automorphisms between finite-index subgroups of these “big” mapping class groups and shows that each finite-index subgroup has finite outer automorphism group. As a key ingredient, we prove that all simplicial automorphisms between curve complexes of infinite-type orientable surfaces are induced by homeomorphisms.
Type of Medium:
Online Resource
ISSN:
1073-7928
,
1687-0247
Language:
English
Publisher:
Oxford University Press (OUP)
Publication Date:
2020
detail.hit.zdb_id:
1465368-0
SSG:
17,1
Bookmarklink