Speaker: | Andrei Pajitnov (The University of Nantes) |
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Title: | The Novikov homology and complex hyperplane arrangements |
Date (JST): | Thu, Dec 01, 2011, 15:30 - 17:00 |
Place: | Seminar Room B |
Abstract: |
We begin with a brief survey of the Novikov homology and its applications to to the topology of circle-valued Morse functions and more generally, closed 1-forms. In the second part of the talk we show that for an essential arrangement in an n-dimensional complex vector space the Novikov homology of its complement vanishes in all degrees except n. This is a joint work with Toshitake Kohno. |