ON QUASI-MORPHISMS FROM KNOT AND BRAID INVARIANTS
2011 ◽
Vol 20
(10)
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pp. 1397-1417
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Keyword(s):
We study quasi-morphisms on the groups Pnof pure braids on n strings and on the group [Formula: see text] of compactly supported area-preserving diffeomorphisms of an open two-dimensional disk. We show that it is possible to build quasi-morphisms on Pnby using knot invariants which satisfy some special properties. In particular, we study quasi-morphisms which come from knot Floer homology and Khovanov-type homology. We then discuss possible variations of the Gambaudo–Ghys construction, using the above quasi-morphisms on Pnto build quasi-morphisms on the group [Formula: see text] of diffeomorphisms of a 2-disk.
2013 ◽
Vol 22
(06)
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pp. 1350014
Keyword(s):
2007 ◽
Vol 14
(5)
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pp. 839-852
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2011 ◽
Vol 11
(3)
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pp. 1243-1256
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1993 ◽
Vol 132
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pp. 73-89
2012 ◽
Vol 231
(3-4)
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pp. 1886-1939
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2008 ◽
Vol 8
(1)
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pp. 603-608
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2006 ◽
Vol 350
(1-2)
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pp. 110-116
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1984 ◽
Vol 311
(1515)
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pp. 43-102
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Keyword(s):