Toshitake Kohno ; [translated from the Japanese by the author].
Providence, R.I. :
American Mathematical Society,
c2002.
x, 172 p. :
ill. ;
22 cm.
Iwanami series in modern mathematics
Translations of mathematical monographs ;
v. 210
Includes bibliographical references (p. 165-167) and index.
Geometric Aspects of Conformal Field Theory -- Loop groups and affine Lie algebras -- Representations of affine Lie algebras -- Wess-Zumino-Witten model -- The space of conformal blocks and fusion rules -- KZ equation -- Vertex operators and OPE -- Jones-Witten Theory -- KZ equation and representations of braid groups -- Conformal field theory and the Jones polynomial -- Witten's invariants for 3-manifolds -- Projective representations of mapping class groups -- Chern-Simons theory and connections on surfaces -- Chern-Simons Perturbation Theory -- Vassiliev invariants and the Kontsevich integral -- Chern-Simons functionals and the Ray-Singer torsion -- Chern-Simons perturbative invariants -- Further Developments and Prospects.