9 citations · 17 across the 3 of their papers we have counts for
3 papers
math-ph2018★ 3 cited
Evolution for Khovanov polynomials for figure-eight-like family of knots
Petr Dunin-Barkowski, Aleksandr Popolitov, Svetlana Popolitova
We look at how evolution method deforms, when one considers Khovanov polynomials instead of Jones polynomials. We do this for the figure-eight-like knots (also known as 'double bra…
math.AG2010★ 5 cited
On the Homology of Certain Smooth Covers of Moduli Spaces of Algebraic Curves
Petr Dunin-Barkowski, Alexander Popolitov, George Shabat +1
We suggest a general method of computation of the homology of certain smooth covers of moduli spaces $\mathcal{M}_{g,1}\br{\mathbb{C}}$ of poi…
hep-th2008★ 9 cited
Geometric Hamiltonian Formalism for Reparametrization Invariant Theories with Higher Derivatives
Petr Dunin-Barkowski, Alexei Sleptsov
Reparametrization invariant Lagrangian theories with higher derivatives are considered. We investigate the geometric structures behind these theories and construct the Hamiltonian…