Research Article

SYMPLECTIC GEOGRAPHY PROBLEM IN DIMENSION SIX

Volume: 41 Number: 5 May 1, 2012
  • Ahmet Beyaz
TR EN

SYMPLECTIC GEOGRAPHY PROBLEM IN DIMENSION SIX

Abstract

In this note, the geography problem in dimension four is reviewed and then its extension to dimension six for the symplectic case is explained. Finally some examples in dimension six are provided.

Keywords

References

  1. Akhmedov, A. Simply Connected Symplectic Calabi-Yau 6-Manifolds, Arxiv preprint arXiv:1107.2623, 2011.
  2. Fintushel, R. and Stern, R. J. Knots, links, and 4-manifolds, Invent. Math. 134 (2), 363–400, 1998.
  3. Fintushel, R. and Stern, R. J. Families of simply connected 4-manifolds with the same Seiberg-Witten invariants, Topology 43 (6), 1449–1467, 2004.
  4. Fintushel, R. and Stern, R. J. Six lectures on four 4-manifolds (Low Dimensional Topology, IAS/Park City Math. Ser. 15, Amer. Math. Soc., Providence, RI, 2009), 265–315.
  5. Gompf, R. E. A new construction of symplectic manifolds, Ann. of Math. (2) 142 (3), 527– 595, 1995.
  6. Gompf, R. E. and Stipsicz, A. I. 4-manifolds and Kirby calculus (Graduate Studies in Math- ematics 20, American Mathematical Society, Providence, RI, 1999).
  7. Halic, M. On the geography of symplectic 6-manifolds, Manuscripta Math. 99 (3), 371–381, 1999.
  8. Hunt, B. Complex manifold geography in dimension 2 and 3, J. Differential Geom.30 (1), 51–153, 1989.

Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

Ahmet Beyaz This is me

Publication Date

May 1, 2012

Submission Date

May 11, 2014

Acceptance Date

-

Published in Issue

Year 2012 Volume: 41 Number: 5

APA
Beyaz, A. (2012). SYMPLECTIC GEOGRAPHY PROBLEM IN DIMENSION SIX. Hacettepe Journal of Mathematics and Statistics, 41(5), 709-713. https://izlik.org/JA93NB94YL
AMA
1.Beyaz A. SYMPLECTIC GEOGRAPHY PROBLEM IN DIMENSION SIX. Hacettepe Journal of Mathematics and Statistics. 2012;41(5):709-713. https://izlik.org/JA93NB94YL
Chicago
Beyaz, Ahmet. 2012. “SYMPLECTIC GEOGRAPHY PROBLEM IN DIMENSION SIX”. Hacettepe Journal of Mathematics and Statistics 41 (5): 709-13. https://izlik.org/JA93NB94YL.
EndNote
Beyaz A (May 1, 2012) SYMPLECTIC GEOGRAPHY PROBLEM IN DIMENSION SIX. Hacettepe Journal of Mathematics and Statistics 41 5 709–713.
IEEE
[1]A. Beyaz, “SYMPLECTIC GEOGRAPHY PROBLEM IN DIMENSION SIX”, Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 5, pp. 709–713, May 2012, [Online]. Available: https://izlik.org/JA93NB94YL
ISNAD
Beyaz, Ahmet. “SYMPLECTIC GEOGRAPHY PROBLEM IN DIMENSION SIX”. Hacettepe Journal of Mathematics and Statistics 41/5 (May 1, 2012): 709-713. https://izlik.org/JA93NB94YL.
JAMA
1.Beyaz A. SYMPLECTIC GEOGRAPHY PROBLEM IN DIMENSION SIX. Hacettepe Journal of Mathematics and Statistics. 2012;41:709–713.
MLA
Beyaz, Ahmet. “SYMPLECTIC GEOGRAPHY PROBLEM IN DIMENSION SIX”. Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 5, May 2012, pp. 709-13, https://izlik.org/JA93NB94YL.
Vancouver
1.Ahmet Beyaz. SYMPLECTIC GEOGRAPHY PROBLEM IN DIMENSION SIX. Hacettepe Journal of Mathematics and Statistics [Internet]. 2012 May 1;41(5):709-13. Available from: https://izlik.org/JA93NB94YL