A new construction of 6-manifolds


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Beyaz A.

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, vol.360, no.8, pp.4409-4424, 2008 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 360 Issue: 8
  • Publication Date: 2008
  • Doi Number: 10.1090/s0002-9947-08-04462-0
  • Title of Journal : TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
  • Page Numbers: pp.4409-4424

Abstract

This paper provides a topological method to construct all simply-connected, spin, smooth 6-manifolds with torsion-free homology using simply-connected, smooth 4-manifolds as building blocks. We explicitly determine the invariants that classify these 6-manifolds from the intersection form and specific homology classes of the 4-manifold building blocks.