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arXiv · 1809.00363

Obstruction of $C_\infty$-algebra models and characteristic classes

Takahiro Matsuyuki
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Abstract

In this paper, we consider an obstruction-theoretical construction of characteristic classes of fiber bundles by simplicial method. We can get a certain obstruction class for a deformation of $C_\infty$-algebra models of fibers and a characteristic map from the exterior algebra of a vector space of derivations. Applying this construction for a surface bundle, we obtain the Euler class of a sphere bundle and the Morita-Miller-Mumford classes of a bundle with positive genus fiber.

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Takahiro Matsuyuki. 2018-09-02. Obstruction of $C_\infty$-algebra models and characteristic classes. https://arxiv.org/abs/1809.00363

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