9 citations · 12 across the 5 of their papers we have counts for
5 papers
Lectures on Poisson algebras
Volodya Roubtsov, Radek Suchánek
Poisson algebras have become an essential topic in mathematics with a rich structure and wide applicability. Despite numerous resources available on Poisson structures, the algebra…
Moduli spaces of vector bundles on a curve and opers
Indranil Biswas, Jacques Hurtubise, Vladimir Roubtsov
Let be a compact connected Riemann surface of genus , with , and let be a holomorphic line bundle on with . Fix a the…
Vector bundles and connections on Riemann surfaces with projective structure
Indranil Biswas, Jacques Hurtubise, Vladimir Roubtsov
Let be the moduli space of triples of the form , where is a compact connected Riemann surface of genus , with , $K^{…
Monge-Ampère Structures and the Geometry of Incompressible Flows
Bertrand Banos, Vladimir Roubtsov, Ian Roulstone
We show how a symmetry reduction of the equations for incompressible hydrodynamics in three dimensions leads naturally to a Monge-Ampère structure, and Burgers'-type vortices are a…
K"ahler Geometry and the Navier-Stokes Equations
Ian Roulstone, Bertrand Banos, John D. Gibbon +1
We study the Navier-Stokes and Euler equations of incompressible hydrodynamics in two and three spatial dimensions and show how the constraint of incompressiblility leads to equati…