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Updates on Hirzebruch's 1954 Problem List

2013/05/20 by D. Kotschick, Kotschick, D.
Mathematics · #14J29 #32C99 #53C10 #53C55 #53D10 #55N22 #57R20 #57R40 #58A14 #58A17 #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #History and Overview (math.HO) #Symplectic Geometry (math.SG) #math.CV #math.DG #math.GT #math.HO #math.SG #msc:14J29 #msc:32C99 #msc:53C10 #msc:53C55 #msc:53D10 #msc:55N22 #msc:57R20 #msc:57R40 #msc:58A14 #msc:58A17

paper · pdf · doi:10.48550/arxiv.1305.4623

17 pages

arxiv created 2013/05/20 · arxiv updated 2013/05/21

Abstract

We present updates to the problems on Hirzebruch's 1954 problem list focussing on open problems, and on those where substantial progress has been made in recent years. We discuss some purely topological problems, as well as geometric problems about (almost) complex structures, both algebraic and non-algebraic, about contact structures, and about (complementary pairs of) foliations.

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