nLab Gereon Quick (changes)

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website

Selected writings

On algebraic topology:

• Gereon Quick, Advanced algebraic topology, 2014

On the Hopf invariant and the Hopf invariant one problem:

• Gereon Quick, The Hopf invariant one problem via K-theory, lecture notes, 2014 (pdf)

On the e-invariant:

• Gereon Quick, The $e$-invariant, lecture notes, 2014 (pdf)

On the e-invariant and the J-homomorphism:

• Gereon Quick, The $e$-invariant and the $J$-homomorphism, lecture notes, 2014 (pdf)

Introducing Hodge-filtered differential cohomology and its specialization to Hodge-filtered complex cobordism theory:

• Michael J. Hopkins, Gereon Quick, §5 in: Hodge filtered complex bordism, Journal of Topology 8 1 (2014) 147-183 [[arXiv:1212.2173](https://arxiv.org/abs/1212.2173), doi:10.1112/jtopol/jtu021]

Introduction and survey:

• Gereon Quick, Geometric Hodge filtered complex cobordism, talk at CQTS (March 2023) [video:YT]

Refinement of the Abel-Jacobi map to Hodge-filtered differential MU-cobordism cohomology theory:

• Gereon Quick, An Abel-Jacobi invariant for cobordant cycles, Documenta Mathematica 21 (2016) 1645–1668 [[arXiv:1503.08449](https://arxiv.org/abs/1503.08449)]

and a geometric cocycle model by actual cobordism-classes:

• Knut B. Haus, Gereon Quick, Geometric Hodge filtered complex cobordism [[arXiv:2210.13259](https://arxiv.org/abs/2210.13259)]

On Umkehr maps in Hodge-filtered differential complex cobordism cohomology:

• Knut Bjarte Haus, Gereon Quick, Geometric pushforward in Hodge filtered complex cobordism and secondary invariants [[arXiv:2303.15899](https://arxiv.org/abs/2303.15899)]

Related entries

• profinite homotopy theory

• intermediate Jacobian, complex analytic infinity-groupoid