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math.AT2023
Geometric pushforward in Hodge filtered complex cobordism and secondary invariants
Knut Bjarte Haus, Gereon Quick
We construct a functorial pushforward homomorphism in geometric Hodge filtered complex cobordism along proper holomorphic maps between arbitrary complex manifolds. This significant…
math.AT2022
Geometric Hodge filtered complex cobordism
Knut Bjarte Haus, Gereon Quick
We construct a geometric cycle model for a Hodge filtered extension of complex cobordism for every smooth manifold with a filtration on its de Rham complex with complex coefficient…