33 citations · 66 across the 30 of their papers we have counts for
4 papers · 1 filter
Encoding knots by clasp diagrams
Jacob Mostovoy, Michael Polyak
We introduce a new combinatorial method to encode knots and links with applications to knot invariants. Clasp diagrams defined in this paper are combinatorial blueprints for buildi…
Differential graded Lie algebras and Leibniz algebra cohomology
Jacob Mostovoy
In this note, we interpret Leibniz algebras as differential graded Lie algebras. Namely, we consider two functors from the category of Leibniz algebras to that of differential grad…
Simplicial equations for the moduli space of stable rational curves
Joaquin Maya, Jacob Mostovoy
In this, largely expository, note, we show how the simplicial structure of the moduli spaces of stable rational curves with marked points allows to produce explicit equations for t…
Planar pure braids on six strands
Jacob Mostovoy, Christopher Roque-Márquez
The group of planar (or flat) pure braids on strands, also known as the pure twin group, is the fundamental group of the configuration space of labell…