Based on Morse theory for the energy functional path spaces we develop a deformation mapping of spheres into orthogonal groups. This is used to show that these are weakly homotopy equivalent, in stable range, associated Clifford representations. Given an oriented Euclidean bundle $V \to X$ rank divisible by four over finite complex $X$ derive decomposition result vector bundles sphere $\mathord...

We calculate certain homotopy groups of the moduli spaces for representations of a compact oriented surface in the Lie groups GL(n,C) and U(p, q). Our approach relies on the interpretation of these representations in terms of Higgs bundles and uses Bott–Morse theory on the corresponding moduli spaces.

A new species of potamid freshwater crab, Malayopotamon weh sp. nov., is described from the island of Pulau Weh off northern Sumatra, Indonesia. The species superficially resembles three Sumatran species: M. batak Ng & Wowor, 1991, M. tobaense (Bott, 1968), and M. turgeo Ng & Tan, 1999, but can easily be distinguished by various carapace as well as gonopod characters.

A new genus and species of potamid cavernicolous crab, Thampramon tonvuthi sp. nov., is described from Thailand. While superficially similar to Tiwaripotamon Bott, 1970, Phaibulamon Ng, 1992, and Nemoron Ng, 1996, the new genus possesses a unique combination of morphological characters including a distinctive carapace form, possession of a relatively long third maxilliped exopod, long ambulator...

In this paper we produce a lower bound for the number of periodic orbits of certain Hamiltonian vector fields near Bott-nondegenerate symplectic critical submanifolds. This result is then related to the problem of finding closed orbits of the motion of a charged low energy particle on a Riemannian manifold under the influence of a magnetic field.