This book 'COmes from a course I gave in Strasbourg in 1988-89. In the audience were in particular Julien Duval, Santiago Lopez de Medrano and Marcus Slupinski who helped me by their questions to understand many of the points I was supposed to be explaining. There were genuine s…
This memoir consists of two independent papers. In the first, "The symplectic cobordism ring III" the classical Adams spectral sequence is used to study the symplectic cobordism ring [capital Greek]Omega[superscript]* [over] [subscript italic capital]S[subscript italic]p. In the…
We present an account of the metaplectic representation in terms of the Bargmann-Segal model rather than the standard Schrödinger model; this allows us to describe explicitly the structure and pairing of vacuum states for positive polarizations. We develop a scheme for geometric…