A new construction of $6$-manifolds
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- by Ahmet Beyaz PDF
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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.References
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Additional Information
- Ahmet Beyaz
- Affiliation: Department of Mathematics, University of California, Irvine, California 92697 β and β Department of Mathematics, Middle East Technical University, Ankara 06531, Turkey
- Email: abeyaz@math.uci.edu, beyaz@metu.edu.tr
- 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.
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 360 (2008), 4409-4424
- MSC (2000): Primary 57R55, 57R65
- DOI: https://doi.org/10.1090/S0002-9947-08-04462-0
- MathSciNet review: 2395178