The Euler Class in the Simplicial de Rham Complex
Year 2016,
Volume: 9 Issue: 2, 36 - 43, 30.10.2016
Naoya Suzuki
Abstract
![](data:image/png;base64,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)
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Symposium. New Mexico State University, December 1973.
- [7] Segal, G., Classifying spaces and spectral sequences. Inst. Hautes Études Sci. Publ. Math. No.34 1968 105-112.
- [8] Suzuki, N., The Chern character in the Simplicial de Rham Complex. Nihonkai Mathematical Journal Vol.26 (2015), No1, pp.1-13.
Year 2016,
Volume: 9 Issue: 2, 36 - 43, 30.10.2016
Naoya Suzuki
References
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- [2] Bott, R., Shulman, H. and Stasheff, J., On the de Rham Theory of Certain Classifying Spaces. Adv. in Math. 20 (1976), 43-56.
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- [5] Dupont, J.L., Curvature and Characteristic Classes, Lecture Notes in Math. 640, Springer Verlag, 1978.
- [6] Mostow, M. and Perchick, J., Notes on Gel’fand-Fuks Cohomology and Characteristic Classes (Lectures by Bott). In Eleventh Holiday
Symposium. New Mexico State University, December 1973.
- [7] Segal, G., Classifying spaces and spectral sequences. Inst. Hautes Études Sci. Publ. Math. No.34 1968 105-112.
- [8] Suzuki, N., The Chern character in the Simplicial de Rham Complex. Nihonkai Mathematical Journal Vol.26 (2015), No1, pp.1-13.
There are 8 citations in total.