2005/01/31 by Tim Perutz, Perutz, Tim · 2 citations
Mathematics · #32Q15 #53D40 #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #math.SG #msc:32Q15 #msc:53D40
paper · pdf · doi:10.48550/arxiv.math/0501547
4 pages. I have appended this unpublished note to arXiv:0801.0564 (accepted for publication in Proc. 14th Gokova Geometry-Topology conference) - please reference the latter
openalex publication_date 2005/01/31 · arxiv created 2008/02/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Users of Heegaard Floer homology may be reassured to know that it can be made to conform exactly to the standard analytic pattern of Lagrangian Floer homology. This follows from the following remark, which we prove using an argument of J. Varouchas: the natural singular Kähler form \symn(ω) on the nth symmetric product of a Kähler curve (Σ,ω) admits a cohomologous smoothing to a Kähler form which equals \symn(ω) away from a chosen neighbourhood of the diagonal.