The Maslov cycle and the J-homomorphism


Treumann, D. (2016). The Maslov cycle and the J-homomorphism. Perimeter Institute. https://pirsa.org/16040078


Treumann, David. The Maslov cycle and the J-homomorphism. Perimeter Institute, Apr. 19, 2016, https://pirsa.org/16040078


          @misc{ pirsa_PIRSA:16040078,
            doi = {10.48660/16040078},
            url = {https://pirsa.org/16040078},
            author = {Treumann, David},
            keywords = {Mathematical physics},
            language = {en},
            title = {The Maslov cycle and the J-homomorphism},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {apr},
            note = {PIRSA:16040078 see, \url{https://pirsa.org}}

David Treumann Boston College


Let L be an exact Lagrangian submanifold of a cotangent bundle T^* M. If a topological obstruction vanishes, a local system of R-modules on L determines a constructible sheaf of R-modules on M -- this is the Nadler-Zaslow construction. I will discuss a variant of this construction that avoids Floer theory, and that allows R to be a ring spectrum. The talk is based on joint work with Xin Jin.