A new construction of -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 -manifolds with torsion-free homology using simply-connected, smooth -manifolds as building blocks. We explicitly determine the invariants that classify these -manifolds from the intersection form and specific homology classes of the -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:
https://doi.org/10.1090/S0002-9947-08-04462-0

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.