You are here

Home » Content

Narrowing Cohomology for Complex S6

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2017

Key Words:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
We compute Bott Chern, and Aeppli cohomology for a complex structure on the six sphere, S6. We also give a table for the hodge numbers for the Bott-Chern (and thus also Aeppli) cohomology where hodge numbers are given in terms of whole number parameters a = hi-0 — hi-0, c = hg'2,d = hi-2, hi-0, , and h^C. As an example, we work out the Bott-Chern hodge numbers completely in the hypothetical case that the Dolbeault cohomology has h2'0 = a = c = d = 0.
Bookmark/Search this post with
FULL TEXT (PDF): 
PDF icon arastirmax-narrowing-cohomology-complex-s6.pdf
  • 3
440
454
  • English

REFERENCES

References: 

[1] D. Angella. Cohomological aspects in complex non-Kahler geometry. Springer, 2014.
[2] J.R. Brown. Properties of exotic complex structures on cp3. MATHEMATICA BO-HEMICA, 132(1):59-74, 2007.
[3] F. Campana, J.P. Demailly, and T. Peternell. The algebraic dimension of compact complex threefolds with vanishing second betti number. Compos. Math., 112:77-91,
1998.
[4] G. Etesi. Complex structure on the six dimensional sphere from a spontaneous sym¬metry breaking. Journal of Mathematical Physics, 56(4), April 2015.
[5] A. Gray. A property of a hypothetical complex structure on the six sphere. Bol. Un. Mat. Ital. Suppl. fasc., 2:251-255, 1997.
[6] F. Hirzebruch. Some problems on differentiable and complex manifolds. Ann. of
Math., 60(2):213-236, 1954.
[7] A.T. Huckleberry, S. Kebekus, and T. Peternell. Group actions on s6 and complex structures on p3. Duke Math. J., 102(1):101-124, 2000.
[8] C. LeBrun. Orthogonal complex structures on s6. Proc. Amer. Math. Soc., 101:136¬138, 1987.
[9] D. Popovici. Aeppli cohomology classes associated with gauduchon metrics on com¬pact complex manifolds. arxiv: 1310.3685v1 [math.DG], October 2013.
[10]
M. Schweitzer. Autour de la cohomologie de bott-chern. arXiv:0709.3528v1 [math.AG]., Prepublication de l'Institut Fourier(703), 2007.
REFERENCES 454 [11] L. Ugarte. Hodge numbers of a hypothetical complex structure on the six sphere.
Geom. Dedicata, 81:173-179, 2000.
[12] J. Varouchas. Proprietes cohomologiques d'une classe de varietes analytiques com¬plexes compactes. In P. Lelong, P. Dolbeault, and H. Skoda, editors, Seminaire d'analyse P. Lelong-P. Dolbeault-H. Skoda, annees 1983/1984, Lecture Notes in
Math., volume 1198, pages 233-243. Springer, 1986.

Thank you for copying data from http://www.arastirmax.com