Sums of lens spaces bounding rational balls

2007/05/14 by Paolo Lisca
Mathematics · #Algebraic Geometry and Number Theory #Bounding overwatch #Geometric and Algebraic Topology #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #Lens (geology) #Lens space #Order (exchange) #Rational function #math.GT #msc:57M25

paper · pdf · doi:10.2140/agt.2007.7.2141

published as Algebr. Geom. Topol. 7 (2007) 2141-2164 · 20 pages, 4 figures

arxiv created 2007/05/14 · openalex publication_date 2007/12/26 · arxiv updated 2014/09/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We classify connected sums of three-dimensional lens spaces which smoothly bound rational homology balls. We use this result to determine the order of each lens space in the group of rational homology 3-spheres up to rational homology cobordisms, and to determine the concordance order of each 2-bridge knot.

Citations

• The orientation of Yang-Mills moduli spaces and 4-manifold topology
• Deformationen von Quotientensingularit�ten (nach zyklischen Gruppen)

Cited by

• Knot concordance and Heegaard Floer homology invariants in branched covers