KOHNO Toshitake


河野 俊丈こうの としたけ
KOHNO Toshitake

Title Professor
Affiliation Department of Mathematics (UG), Graduate School of Mathematical Sciences
E-mail
Room 455, Graduate School of Mathematical Sciences Bldg. 4F, Komaba Campus
TEL +81-3-5465-8332 | 48832(ext.)


Research Field

topology, mathematical physics

Research Subject

representations of braid groups and configuration spaces, constructions of topological quantum invariants, relations to conformal field theory

Current Research

I am working in the area of geometry and topology in mathematics. My interests cover 3-dimensional manifolds, braid groups, knot theory, and the geometry of configuration spaces and moduli spaces. In attempting to construct representations of braid groups based on iterated integral of logarithmic forms, I found a relation between the monodromy of the KZ equation in conformal field theory and quantum groups. My recent research achievements include integral representation of the space of conformal blocks by multi-variable hypergeometric functions, geometry of infinite dimensional spaces such as the space of knots and the loop spaces of configuration spaces and the algebraic structure of their homology.

Keywords

braid group, configuration space, iterated integral, quantum topological invariants, conformal field theory

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