# Séminaires : Séminaire de Topologie

 Equipe(s) : tga, Responsables : Catherine Gille et Najib Idrissi Email des responsables : Salle : 1016 Adresse : Sophie Germain Description Un plan d’accès est disponible ici. Pour vous inscrire à la liste de diffusion du séminaire, veuillez vous rendre à cette adresse.

 Orateur(s) Daniel Mathews - , Titre Sutured Floer homology and contact-topological quantum field theory Date 11/05/2010 Horaire 10:30 à 12:00 Résume Daniel Mathews (Nantes)Sutured Floer homology and contact-topological quantum field theoryWe consider the topological quantum field theory properties of suturedFloer homology, as introduced by Honda--Kazez--Matic. We presentseveral results in the dimensionally reduced" case of productmanifolds. The SFH of such manifolds reduces to that of solid tori,and forms a categorification of Pascal's triangle". Contactstructures correspond to chord diagrams, and contact elements formdistinguished subsets of SFH of order given by the Catalan numbers. Wefind natural creation and annihilation operators'' which allow us todefine a QFT-type basis of SFH, consisting of contact elements. Infact sutured Floer homology in this case reduces to the combinatoricsof chord diagrams, and in a sense which can be made precise, is thequantum field theory of two non-commuting particles". The details ofthis description have intrinsic contact-topological meaning, allowingus for instance to compute certain contact categories, and to give acontact geometry free" proof that the contact element of a contactstructure with torsion is zero. Salle 1016 Adresse Sophie Germain