Publications and Preprints of Weiping Li

Complete List, By Subject, Recent


Publication List

  1. The Z-graded symplectic Floer cohomology of monotone Lagrangian sub-manifolds PS file, PDF file, to appear in AGT.
  2. Counting SL_2(F_q)-representations of torus knot groups, PS file, PDF file. Journal of Knot theory and its Ramifications, Vol 13, No. 3 (2004), 401-426.
  3. Counting SL_2(F_{2^S}) representations of torus knot groups Acta Mathematica Sinica, English Series, Vol 19, No. 2 (2003), 233-244.
  4. A monopole homology for integral homology 3-spheres, PostScript File. Turkish. J. Math, Vol 27 (2003), 125-160.
  5. The semi-infinity of Floer (co)homologies, Contemporary Mathematics 322, Vector bundles and their representation theory (2003), 195-215. PS file, LaTex file.
  6. Equivariant knot signatures and Floer homologies, J. Knot Theory and its Ramification, Vol. 10, No. 5 (2001) 687-701.
  7. Cap-product structures on the Fintushel-Stern spectral sequence, Math. Proc. Cambridge Philosophical Soc. Part 2, Volume {\bf 131} (2001), 265-278.
  8. Knot invariants from counting periodic points, ``Knots, Braids and Mapping Class Groups'', Proceedings of a conference in honor of Joan Birman's 70th birthday (refereed), AMS/IP Studies in Advanced Mathematics, Volume 21, 2000, 91-102.
  9. Knot and Link Invariants and Moduli Spaces of Parabolic Bundles, Communications in Contemporary Mathematics (2001). PostScript File.
  10. The symplectic Floer homology of the figure eight knot, Asian J. Mathematics, Vol {\bf 4}, No. 2, 345-350.
  11. K\"{u}nneth formulae and cross products for the symplectic Floer cohomology, Topology and its Applications, Volume 110, Issue 3, 30 (2001), 211-236.
  12. A Module structure on the symplectic Floer cohomology, Communications in Mathematical Physics, Vol {\bf 211}, No. 1 (2000), 137-151.
  13. A Necessary and Sufficient condition on diffeomorphisms (with Yongxi Yu), Journal of Mathematical Research and Exposition, Vol {\bf 20}, No. 1, 1-22, February 2000.
  14. The symplectic Floer homology of composite knots, Forum Mathematicum. 11, No. 5 (1999), 617-646.
  15. The symplectic Floer homology of the square knot and granny knots, Acta Mathematica Sinica, English Series 1999, Jan., Vol 15, No. 1, 1- 10.
  16. Kunneth formulae for SO(3) Floer homology, Topology, 38, No. 6(1999), 1209-1237.
  17. Singular connections and Riemann theta functions, Topology and its applications, 20(1997), 1-15.
  18. Casson-Lin's invariant and Floer homology , J. Knot Theory and its Ramification, Vol 6, No. 6 (1997), 851-877.
  19. Floer homology for connected sums of homology spheres, J. Diff. Geometry, 40 (1994), 129 - 154. Math Review
  20. Tensor products and tensor functors of $R-n$ modules (with Shaowu Wang), J. Math. Res. Exp., 5 (1985), no.1, 17-24.

Preprints by subjects Check Here to get the preprints

Three Manifolds and Knots

  1. Knots, Links and Zeta Functions PostScript File, OSU Preprint 1999.
  2. Braids, Knots and Reidemeister zeta functions
  3. Casson invariant is a homotopy invariant, joint work with J. Hyam Rubinstein, PostScript File.

Instanton Floer Homology

  1. Floer homology of rational homology 3-spheres (with R. Lee) MSRI preprint $\#$04394. PostScript File
  2. A Mayer-Vietoris principle for the instanton Floer homology PostScript File
  3. Floer homologies for Lagrangian intersections and instantons (with R. Lee), here
  4. Symplectic Floer homology of $SU(2)$ representation space (I) (with R. Lee), PostScript File
  5. Floer homologies of Lagrangian intersections and instantons (II)} (with R. Lee), PostScript File
  6. K\"{u}nneth formulae for equivariant instanton (co)homologies PostScript File.
  7. An Equivariant Monopole homology for rational homology 3-spheres PS file, PDF file.
  8. Instanton Floer homology for connected sums of Poincare spheres PS file, PDf file.

Symplectic Floer Homology

  1. Symplectic Floer homology of $SU(2)$ representation spaces I (with R. Lee), submitted.
  2. Floer homology for Lagrangian intersections and instantons II (with R. Lee), submitted.
  3. Generalization of Atiyah's conjecture on comparing symplectic and insta nton spectral sequences (with Ronnie Lee)
  4. The Semi-infinite cohomology and the Floer cohomology PostScript File, Latex File.

Unclassified

  1. A necessary and sufficient condition on diffeomorphisms Journal of Mathematical Research and Exposition, Vol {\bf 20}, No. 1, 1-22, February 2000.
  2. Singular connections and Riemann theta functions, Topology and its applications, 20(1997), 1-15.

Most Recent

  1. Braids and Symplectic Reidemeister zeta functions, PostScript File.
  2. On the relative dualising sheaf of a symplectic Lefschetz fibration, joint work with Peter Vermeire, PostScript File.
  3. Lectures on Knot invariants PDF file, PS file
  4. An L^2-Alexander invariant for knots, joint work with Weiping Zhang, PS File, PDf file
  5. An L^2-Alexander-Conway invariant for knots and the volume conjecture , joint work with Weiping Zhang, PS File,

Weiping Li@math.okstate.edu