Monodromy representations of braid groups
The group Bn of braids on n strands is the fundamental
group of the
configuration space of n points in the plane. Thus, by considering
bundle over the configuration space and taking the corresponding monodromy
homomorphism, one obtains a representation of Bn.
In this talk we discuss the
following representations, treating each of them as a monodromy homomorphism:
- Artin representation.
- Burau representation.
representation (a faithful linear representation of Bn, by a recent result)
and, if the time permits,
- Chen's iterated integral of a canonical formal
power series connection, which is the same thing as Kontsevich integral for
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