BAO Yuanyuan
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Title
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Assistant Professor |
Field | Low dimensional topology, knot theory |
Research interests
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Heegaard Floer homology, quantum invariants, spatial graph |
Current research
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Heegaard Floer homology is a topological invariant defined for a 3-manifold or a knot embedded in the 3-sphere. My recent research aims to understand the quantum topological meaning of this invariant. It is well-known that the trivalent spatial graphs take on a big role in the construction of various quantum invariants for a 3-manifold or a knot. So far, I have studied the Heegaard Floer homology for a trivalent graph, the Euler characteristic of this homology (with my collaborator), and its relation with the gl(1|1)-quantum invariant. In the future study, I want to continue this research topic. Figuring out a few problems we met so far about the gl(1|1)-quantum invariant, MOY calculus, and so on will be the next step of my research. I am also interested in the topological properties of spatial graphs. |
Selected publications
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Memberships, awards and activities
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The Mathematical Society of Japan |