The Lund Model (Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology)

Theaimofthisbookistopresentamoderntreatmentofthetheoryofthetafunctionsinthecontextofalgebraicgeometry.ThenoveltyofitsapproachliesinthesystematicuseoftheFourier-Mukaitransform.TheauthorstartsbydiscussingtheclassicaltheoryofthetafunctionsfromthepointofviewoftherepresentationtheoryoftheHeisenberggroup(inwhichtheusualFouriertransformplaystheprominentrole).Hethenshowsthatinthealgebraicapproachtothistheory,theFourier–Mukaitransformcanoftenbeusedtosimplifytheexistingproofsortoprovidecompletelynewproofsofmanyimportanttheorems.Graduatestudentsandresearcherswithstronginterestinalgebraicgeometrywillfindmuchofinterestinthisvolume.