A TQFT from quantum Teichm\"uller theory

By using quantum Teichm\"uller theory, we construct a one parameter family of TQFT's on the categroid of admissible leveled shaped 3-manifolds.Comment: 41 pages, references added, Conjecture 1 and Theorem 5 correcte

Configuration Space Integrals and Universal Vassiliev Invariants over Closed Surfaces

We show the existence of a universal Vassiliev invariant for links in closed surface cylinders by explicit construction using configuration space integrals.Comment: 22 pages, Latex2