33 citations · 66 across the 30 of their papers we have counts for
Showing 1999Show all
3 papers · 1 filter
math.GT1999
Lattices in R^2 and finite subsets of a circle
Jacob Mostovoy
An elementary geometric construction is used to relate the space of lattices in a plane to the space exp_3(S^1) of the subsets of a circle of cardinality at most 3. As a consequenc…
math.GT1999★ 1 cited
Free groups and finite type invariants of pure braids
Jacob Mostovoy, Simon Willerton
Finite type invariants (also known as Vassiliev invariants) of pure braids are considered from a group-theoretic point of view. New results include a construction of a universal in…
math.GT1999★ 1 cited
On a Map From Pure Braids to Knots
Jacob Mostovoy, Theodore Stanford
We study a certain type of braid closure which resembles the plat closure but has certain advantages; for example, it maps pure braids to knots. The main results of this note are a…