Geometric pushforward in Hodge filtered complex cobordism and secondary invariants

DOI10.4171/dm/951arXiv2303.15899MaRDI QIDQ6200605

Gereon Quick, Knut Bjarte Haus

Publication date: 22 March 2024

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.15899

zbMATH Keywords

cobordismAbel-Jacobi mapThom morphismdifferential cohomology theoriesHodge filtered orientation

Mathematics Subject Classification ID

Analytic sheaves and cohomology groups (32C35) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Eta-invariants, Chern-Simons invariants (58J28) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15)

Cites Work

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• The de Rham-Federer theory of differential characters and character duality
• Hodge filtered complex bordism
• Geometric Hodge filtered complex cobordism

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