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• W3100485438 abstract "We construct Hodge filtered cohomology groups for complex manifolds that combine the topological information of generalized cohomology theories with geometric data of Hodge filtered holomorphic forms. This theory provides a natural generalization of Deligne cohomology. For smooth complex algebraic varieties, we show that the theory satisfies a projective bundle formula and $A^1$-homotopy invariance. Moreover, we obtain transfer maps along projective morphisms." @default.
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• W3100485438 date "2014-10-20" @default.
• W3100485438 modified "2023-10-16" @default.
• W3100485438 title "Hodge filtered complex bordism" @default.
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• W3100485438 doi "https://doi.org/10.1112/jtopol/jtu021" @default.
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