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, 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]

and a geometric cocycle model by actual cobordism-classes:

- Knut B. Haus, Gereon Quick,
*Geometric Hodge filtered complex cobordism*[arXiv: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]

category: people

Last revised on June 9, 2023 at 13:01:45. See the history of this page for a list of all contributions to it.