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Title: A universal Cannon-Thurston map and the surviving curve complex
Using the Birman exact sequence for pure mapping class groups, we construct a universal Cannon-Thurston map onto the boundary of a curve complex for a surface with punctures we call surviving curve complex . Along the way we prove hyperbolicity of this complex and identify its boundary as a space of laminations. As a corollary we obtain a universal Cannon-Thurston map to the boundary of the ordinary curve complex, extending earlier work of the second author with Mj and Schleimer [Comment. Math. Helv. 86 (2011), pp. 769–816].  more » « less
Award ID(s):
2106419
PAR ID:
10332110
Author(s) / Creator(s):
; ;
Date Published:
Journal Name:
Transactions of the American Mathematical Society, Series B
Volume:
9
Issue:
3
ISSN:
2330-0000
Page Range / eLocation ID:
99 to 143
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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