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We prove a vanishing theorem for the twisted de Rham cohomology of a compact manifold.
1.Agricola, I. and Friedrich, T., On the holonomy of connections with skew-symmetric torsion, Math. Annalen328 (2004), 711–748.CrossRefGoogle Scholar
2
2.Atiyah, M., K-theory past and present, Proceedings of the Berlin Mathematical Society, pp. 411–417 (Berliner Mathematische Gesellschaft, Berlin, 2001).Google Scholar
3
3.Atiyah, M. and Segal, G., Twisted K-theory and cohomology, Nankai Tracts in Mathematics, Volume 11, pp. 5–43 (World Scientific, 2006).Google Scholar
4
4.Bismut, J. M., A local index theorem for non-Kähler manifolds, Math. Annalen284 (1989), 681–699.CrossRefGoogle Scholar
5
5.Bouwknegt, P., Carey, A., Mathai, V., Murry, M. and Stevenson, D., Twisted K-theory and K-theory of bundle gerbes, Commun. Math. Phys.228 (2002), 17–45.CrossRefGoogle Scholar
6
6.Bouwknegt, P., Evslin, J. and Mathai, V., T-duality: topology change from H-flux, Commun. Math. Phys.249 (2004), 383–415.CrossRefGoogle Scholar
7
7.Cavalcanti, G., New aspect of the ddc-lemma, DPhil. Thesis, University of Oxford (2004).Google Scholar
8
8.Kobayashi, S. and Nomizu, K., Foundations of differentiable geometry, Volumes I and II (Interscience, New York, 1969).Google Scholar
9
9.Kosmann-Schwarzbach, Y., Derived brackets, Lett. Math. Phys.69 (2004), 61–87.CrossRefGoogle Scholar
10
10.Lawson, H. B. and Michelsohn, M. L., Spin geometry (Princeton University Press, 1989).Google Scholar
11
11.Mathai, V. and Wu, S., Analytic torsion for twisted de Rham complexes, Diff. Geom.88 (2011), 297–332.Google Scholar
12
12.Rohm, R. and Witten, E., The antisymmetric tensor field in superstring theory, Annals Phys. 170 (1986), 454–489.CrossRefGoogle Scholar
13
13.Roytenberg, D., Courant algebroids, derived brackets and even symplectic supermani-folds, PhD Thesis, University of California, Berkeley (1999).Google Scholar
14
14.Ševera, P. and Weinstein, A., Poisson geometry with a 3-form background, Prog. Theor. Phys. Suppl.144 (2001), 145–154.CrossRefGoogle Scholar