My Mathematics World

Low-dimensional Topology

updated June 2005

 

Low-dimensional Topology

 Differential Equations (PDEs and dynamic Systems)

 Algebras, representations and graph theory

Stochastic Processes

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                    My research in low-dimensional topology and knot theory

 

            Publications

 

                               1.    On kind of 3-manifold invariants arising from finite-dimensional Hopf algebras
                             
2.    On several kinds of universal invariants of framed links and 3-manifolds derived from Hopf algebras
                              3.    A new family of representations of the braid group from tangent bundle of product manifolds

 

              Some open problems

                   Some interesting open problems are listed in my manuscript "on plats"; which were
                         my research plan when I was a graduate student.

              My research was introduced by UCR graduate Newsletter