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A new construction of $ 6$-manifolds

Author(s): Ahmet Beyaz
Journal: Trans. Amer. Math. Soc. 360 (2008), 4409-4424.
MSC (2000): Primary 57R55, 57R65
Posted: March 12, 2008
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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.

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Additional Information:

Ahmet Beyaz
Affiliation: Department of Mathematics, University of California, Irvine, California 92697 -- and -- Department of Mathematics, Middle East Technical University, Ankara 06531, Turkey
Email: abeyaz@math.uci.edu, beyaz@metu.edu.tr

DOI: 10.1090/S0002-9947-08-04462-0
PII: S 0002-9947(08)04462-0
Keywords: $6$-manifold, $4$-manifold, homotopy complex projective space, surgery, plumbing
Received by editor(s): September 19, 2006
Posted: March 12, 2008
Additional Notes: The author would like to thank his thesis advisor, Ronald J. Stern, for his support during the Ph.D. study.
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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