A new knot-invariant - I,II, topological quantum field theories and the Jones polynomial, M.F. Atiyah; representations of loop groups I - factorization theorems, G. Segal; representations of loop groups II - the determinant bundle, G. Segal; topological quantum field theories with finite groups, G. Segal; the Index theorem and differential forms of loop spaces, J.D.S. Jones; topological aspects on loop groups, R. Bott. Appendices: Spin structures and dirac operators; the Weiner integral and the Feynman-Kac formula; topological quantum field theories; Borel-Weil theory.