Yuanyuan BAO

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Title
Assistant Professor
Field Low-dimensional Topology, knot theory
Research interests
Heegaard Floer homology, knot concordance
Current research
Given a Heegaard diagram of a 3-manifold, one can produce a symplectic manifold and a Lagrangian pair from it. Ozsváth and Szabó proved that the Lagrangian intersection Floer homology of the Lagrangian pair is independent of the choice of the Heegaard diagram, which turns out to be a topological invariant of the given 3-manifold. Link Floer homology was also defined later, which is a topological invariant of a link. Recently my research focuses on giving a definition of the Heegaard Floer homology for an embedded graph in a 3-manifold.
Selected publications
  1. Polynomial splittings of Ozsváth and Szabó's d-invariant, Topology Proceedings, Vol. 46, pp 309 - 322, (2015).
  2. On knots having zero negative unknotting number, Indiana Univ. Math. J. 63 No. 2 (2014), 597-613.
  3. A note on knots with H(2)-unknotting number one, Osaka Journal of Mathematics, Vol. 51, No. 3, 2014.
  4. H(2)-unknotting operation related to 2-bridge links, Topology and Its Application, Vol. 159, pp. 2158-2167, 2012.
  5. On the knot Floer homology of a class of satellite knots, Journal of Knot Theory and Its Ramifications, Vol. 21, No. 4, pp. 1-29, 2012.
Memberships, awards and activities

Mathematical Society of Japan