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0111 · Feb 201419922001200920182026
2 results for quasihomomorphisms

This paper extends group cohomology to bounded cohomology using quasihomomorphisms.

problem Explicitly computing bounded cohomology is hard, especially for groups.
method Interpreting bounded cohomology in terms of group extensions using quasihomomorphisms.
result Makes the interpretation of bounded cohomology in terms of group extensions available.

We define a quasihomomorphism from braid groups to the concordance group of knots and examine its properties and consequences of its existence. In particular, we provide a relation between the stable four ball genus in the concordance group and the stable commutator length in braid groups, and produce examples of infin…

2014-02-13abs ↗pdf ↗