
David Easdown
University of Sydney
Braids and factorizable inverse monoids
Friday 13th, December 12:0512:55pm,
Carslaw 373.
What is the untangling effect on a braid if one is allowed to snip a
string, or if two specified strings are allowed to pass through each
other, or even allowed to merge and part as newly reconstituted
strings? To calculate the effects, one works in an appropriate
factorizable inverse monoid, some aspects of a general theory which
will be discussed. The coset monoid of a group arises, and turns out
to have a universal property within a certain class of factorizable
inverse monoids. This theory is dual to the classical construction of
fundamental inverse semigroups from semilattices.







