TY - JOUR
T1 - Braids and order-preserving partial permutations
AU - East, James
PY - 2010
Y1 - 2010
N2 - We initiate a new way to study presentations of the inverse braid monoid. Our method makes use of the monoid of all order-preserving partial permutations on an n-element chain. As an application we derive the Easdown-Lavers (2004) presentation of , and we also obtain new presentations for the symmetric inverse monoid and the monoid of all order-preserving partial braids with at most n strings.
AB - We initiate a new way to study presentations of the inverse braid monoid. Our method makes use of the monoid of all order-preserving partial permutations on an n-element chain. As an application we derive the Easdown-Lavers (2004) presentation of , and we also obtain new presentations for the symmetric inverse monoid and the monoid of all order-preserving partial braids with at most n strings.
KW - braids
KW - knot theory
UR - http://handle.uws.edu.au:8081/1959.7/550657
UR - http://search.ebscohost.com/login.aspx?direct=true&db=iih&AN=53471329&site=ehost-live&scope=site
U2 - 10.1142/S0218216510008339
DO - 10.1142/S0218216510008339
M3 - Article
SN - 0218-2165
VL - 19
SP - 1025
EP - 1049
JO - Journal of Knot Theory and Its Ramifications
JF - Journal of Knot Theory and Its Ramifications
IS - 8
ER -