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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



A new construction of $ 6$-manifolds

Author: Ahmet Beyaz
Journal: Trans. Amer. Math. Soc. 360 (2008), 4409-4424
MSC (2000): Primary 57R55, 57R65
Published electronically: March 12, 2008
MathSciNet review: 2395178
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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

Keywords: $6$-manifold, $4$-manifold, homotopy complex projective space, surgery, plumbing
Received by editor(s): September 19, 2006
Published electronically: 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.
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.