Bvf-complex and Higher Homotopy Structures

نویسنده

  • FLORIAN SCHÄTZ
چکیده

We present an alternative approach to higher derived homotopy structures induced by the ’basic perturbation lemma’. This approach is motivated by physical considerations and makes use of operads and their representations. As an application we prove that the BVF-complex controls the formal deformations of coisotropic submanifolds – at least locally or under assumptions on the topology of the coisotropic submanifold. This is established by identifying the P∞-algebra structure on the normal bundle of a coisotropic submanifold as a derived homotopy structure of the BVF-complex. Then we provide the connection to the geometric picture in the new framework.

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تاریخ انتشار 2006