ar X iv : m at h / 03 04 41 7 v 2 [ m at h . C A ] 1 6 Ju n 20 03 BMO is the intersection of two translates of dyadic

ar X iv : m at h / 03 06 23 5 v 1 [ m at h . D G ] 1 6 Ju n 20 03 GEOMETRIC CONSTRUCTION OF MODULAR FUNCTORS FROM CONFORMAL FIELD THEORY JØRGEN

We give a geometric construct of a modular functor for any simple Lie-algebra and any level by twisting the constructions in [48] and [51] by a certain fractional power of the abelian theory first considered in [32] and further studied in [2].

ar X iv : m at h / 98 03 04 6 v 1 [ m at h . PR ] 1 1 M ar 1 99 8 LOCAL FIELDS , GAUSSIAN MEASURES , AND BROWNIAN MOTIONS Steven

ar X iv : m at h / 03 03 37 7 v 2 [ m at h . G T ] 1 3 Ju n 20 03 ALMOST NORMAL HEEGAARD SURFACES

We present a new and shorter proof of Stocking's result that any strongly irreducible Heegaard surface of a closed orientable triangulated 3– manifold is isotopic to an almost normal surface. To make our paper essentially self-contained, we reprove a result of Jaco and Rubinstein on normal spheres, Scharlemann's " no nesting " lemma, and the fact that S 3 has no strongly irre-ducible Heegaard s...

ar X iv : 0 80 5 . 06 20 v 1 [ m at h . FA ] 6 M ay 2 00 8 EMBEDDINGS BETWEEN OPERATOR - VALUED DYADIC BMO SPACES

We investigate a scale of dyadic operator-valued BMO spaces, corresponding to the different yet equivalent characterizations of dyadic BMO in the scalar case. In the language of operator spaces, we investigate different operator space structures on the scalar dyadic BMO space which arise naturally from the different characterisations of scalar BMO. We also give sharp dimensional growth estimate...

ar X iv : 0 70 7 . 33 03 v 1 [ m at h . O A ] 2 3 Ju l 2 00 7 OPERATOR - VALUED FRAMES