Discusses topics in the field of quantum topology, including: knot theory, exotic spheres and global gravitational anomolies; construction of 4D topological quantum field theories; computing the arf invariants of links; and the Casson invariants for two-fold branched covers of links.
This book constitutes a review volume on the relatively new subject of Quantum Topology. It is a review volume in the form of a snapshot of ongoing research activity . This activity goes across the board , among problems, techniques , and mysteries in topology and in mathematical physics.
The snapshot was taken at a special session of the American Mathematical Society on Topological Quantum Field Theory. This special session was held in Dayton , Ohio on October 30 - November 1, 1992 at the general meeting of the American Mathematical Society, in which one of us (Louis Kauffman) gave an invited address.