2011/03/16 by Selman Akbulut, Akbulut, Selman
Mathematics · #57R65 #58A05 #58D27 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.1103.3137
openalex publication_date 2011/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is known that S4 is a union of two fishtails, and S2 x S2 is a union of two cusps (glued along their boundaries). Here we prove that, for any choice of knots K,L in S3, performing knot surgery operations to S4 and S2 x S2, along both of the fishtails and cusps, respectively, do not change the diffeomorphism type of these manifolds.