Cobordism Theory and Poincare Conjecture

2009/01/16 by Ming Yang, Yang, Ming
Mathematics · #57R60 #57R80 #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57R60 #msc:57R80

paper · pdf · doi:10.48550/arxiv.0901.2375

20 pages,1 figure

openalex publication_date 2009/01/16 · arxiv created 2010/04/27 · arxiv updated 2010/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, by use of techniques associated to cobordism theory and Morse theory,we give a simple proof of Poincare conjecture, i.e. Every compact smooth simply connected 3-manifold is homeomorphic to 3-sphere.

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