stable mapping
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scholarly journals ON CLOSED LEAVES OF FOLIATIONS, MULTISECTIONS AND STABLE COMMUTATOR LENGTHS

2011 ◽  
Vol 03 (04) ◽  
pp. 491-509
Author(s):  
JONATHAN BOWDEN
Keyword(s):  
Mapping Class Groups ◽  
Mapping Class ◽  
Intersection Numbers ◽  
Class Groups ◽  
Stable Mapping ◽  
Surface Bundles

We give examples of foliations that answer two questions posed by Mitsumatsu and Vogt about the genus minimizing properties of closed leaves of 2-dimensional foliations on 4-manifolds. By studying stable commutator lengths in certain stable mapping class groups, we also answer an asymptotic version of another question of theirs concerning bounds on self-intersection numbers of multisections in surface bundles.

scholarly journals Mod p homology of the stable mapping class group

Topology ◽  
2004 ◽  
Vol 43 (5) ◽  
pp. 1105-1132 ◽  
Author(s):  
Søren Galatius
Keyword(s):  
Mapping Class Group ◽  
Class Group ◽  
Mapping Class ◽  
Stable Mapping ◽  
Mod P
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