A pr 2 00 5 The topology of T - duality for T n - bundles

eb 2 00 6 T - duality for torus bundles with H - fluxes via noncommutative topology , II : the high - dimensional case and the T - duality group

T-duality for torus bundles with H-fluxes via noncommutative topology, II: the high-dimensional case and the T-duality group

Ja n 20 05 The topology of T - duality for T n - bundles

. R T ] 1 8 A pr 2 00 2 On the topology of components of some Springer fibers and their relation to Kazhdan - Lusztig theory

We describe the irreducible components of Springer fibers for hook and two-row nilpotent elements of gl n (C) as iterated bundles of flag manifolds and Grassmannians. We then relate the topology (in particular, the intersection homology Poincaré polynomials) of the intersections of these components with the inner products of the Kazhdan-Lusztig basis elements of irreducible representations of t...

Spherical T-duality II: An infinity of spherical T-duals for non-principal SU(2)-bundles

Recently we initiated the study of spherical T-duality for spacetimes that are principal SU(2)-bundles [5]. In this paper, we extend spherical T-duality to spacetimes that are oriented non-principal SU(2)-bundles. There are several interesting new examples in this case and a new phenomenon appearing in the non-principal case is the existence of infinitely many spherical T-duals.

A pr 2 00 3 THE AUSLANDER - REITEN QUIVER OF A POINCARÉ DUALITY SPACE

In a previous paper, Auslander-Reiten triangles and quivers were introduced into algebraic topology. This paper shows that over a Poincaré duality space, each component of the Auslander-Reiten quiver is isomorphic to ZA∞.