ar X iv : m at h / 05 03 00 6 v 1 [ m at h . D G ] 1 M ar 2 00 5 Transports along Paths in Fibre Bundles

ar X iv : m at h / 05 03 14 5 v 1 [ m at h . D G ] 8 M ar 2 00 5 RIGIDITY AND FLEXIBILITY IN POISSON GEOMETRY

We study rigidity and flexibility phenomena in the context of Poisson geometry.

ar X iv : m at h / 06 05 35 5 v 1 [ m at h . G R ] 1 3 M ay 2 00 6 Axes in Outer Space

ar X iv : h ep - t h / 03 05 03 7 v 1 5 M ay 2 00 3 FORMS ON VECTOR BUNDLES OVER COMPACT REAL HYPERBOLIC MANIFOLDS

We study gauge theories based on abelian p− forms on real compact hyperbolic manifolds. The tensor kernel trace formula and the spectral functions associated with free generalized gauge fields are analyzed.

ar X iv : m at h / 05 03 30 6 v 1 [ m at h . C T ] 1 5 M ar 2 00 5 Coherence for Star - Autonomous Categories

This paper presents a coherence theorem for star-autonomous categories exactly analogous to Kelly’s and Mac Lane’s coherence theorem for symmetric monoidal closed categories. The proof of this theorem is based on a categorial cut-elimination result, which is presented in some detail. Mathematics Subject Classification (2000): 03F05, 03F52, 18D10, 18D15, 19D23

ar X iv : m at h / 03 05 07 6 v 1 [ m at h . G N ] 5 M ay 2 00 3 The Complex Stone – Weierstrass Property ∗

The compact Hausdorff space X has the CSWP if every subalgebra of C(X, C) which separates points and contains the constant functions is dense in C(X, C). W. Rudin showed that all scattered X have the CSWP. We describe a class of non-scattered X with the CSWP; by another result of Rudin, such X cannot be metrizable.