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A transversely holomorphic foliation on a compact complex manifold, exhibits a compact stable leaf if and only if the set of compact leaves is not a zero measure subset of the manifold.
The moduli space M1,n(B(Z/mZ)2) of twisted stable maps into the stack B(Z/mZ)2 carries a natural Sn-action and so its cohomology may be decomposed into irreducible Sn-representations.
We study the cohomology of Aut(F n) and Out(F n) with coeffi-cients in the modules ^qH, ^H, SymqH or SymqH, where H is the Out(F n)-module obtained by abelianising the free group F n.
Collective stable chaos consists of the persistence of disordered patterns in dynamical spatiotem-poral systems possessing a negative maximum Lyapunov exponent. We analyze the role of the topology of ...
We investigate how Viro’s integral calculus applies for the study of the topology of stable maps. We also discuss several applications to Morin maps and complex maps.
We extend bar-cobar duality, defined for operads of chain complexes by Getzler and Jones, to operads of spectra in the sense of stable homotopy theory. Our main result is the existence of a Quillen e...
We report the numerical realization and demonstration of robustness of certain 2-component structures in Bose-Einstein Condensates in 2 and 3 spatial dimensions with non-trivial topological charge in ...

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