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2011

Atiyah classes with values in the truncated cotangent complex

Langholf, Fabian

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We prove an explicit formula for the truncated Atiyah class of a bounded complex of vector bundles.

Furthermore, we show that the first truncated Chern class of such a complex only depends on its determinant.

Atiyah classes with values in the truncated cotangent complex · Around

Built on

M. F. ATIYAH: Complex analytic connections in fibre bundles
1957
Earlier work this paper cites.
P. BERTHELOT, A. GROTHENDIECK, L. ILLUSIE et al.: Théorie des intersections et théorème de Riemann-Roch (SGA 6)
1971
Earlier work this paper cites.
L. ILLUSIE: Complexe cotangent et déformations I
1971
Earlier work this paper cites.
F. KNUDSEN, D. MUMFORD: The projectivity of the moduli space of stable curves, I: Preliminaries on ”det” and ”Div”
1976
Earlier work this paper cites.

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