Homotopy theory of $C_\infty$-algebras and characteristic classes of fiber bundles

Hiroshige Kajiura; Takahiro Matsuyuki; Yuji Terashima

arxiv: 1605.07904 · v3 · pith:BZQ24QMKnew · submitted 2016-05-25 · 🧮 math.GT

Homotopy theory of C_infty-algebras and characteristic classes of fiber bundles

Hiroshige Kajiura , Takahiro Matsuyuki , Yuji Terashima This is my paper

classification 🧮 math.GT

keywords familyalgebrasbundlesc-infinitycharacteristicclassesfiberhomotopy

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In this paper we give a Chern-Weil-type construction of characteristic classes of fiber bundles, based on homotopy theory of C-infinity algebras. Our idea is to replace a family of closed manifolds to a family of C-infinity morphisms with family of metrics.

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Homotopy theory of C_infty-algebras and characteristic classes of fiber bundles

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