Geodesic
Constructing and calculating Adams operations on dualisable topological modular forms
Documenta mathematica, Tome 30 (2025) no. 4, pp. 935-979

Voir la notice de l'article provenant de la source EMS Press

We construct Adams operations ψk on the cohomology theory Tmf of dualisable topological modular forms after inverting k; the first such multiplicative stable operations on this cohomology theory. These Adams operations are then calculated on the homotopy groups of Tmf using a combination of descent spectral sequences and Anderson duality. Applications of these operations are then given, including constructions of connective height 2 analogues of Adams summands and image-of-J spectra.
DOI : 10.4171/dm/1005
Classification : 55N34, 55N22, 55S25, 55P43, 11F23, 14F20
Mots-clés : topological modular forms, Adams operations 
@article{10_4171_dm_1005,
     author = {Jack Morgan Davies},
     title = {Constructing and calculating {Adams} operations on~dualisable topological modular forms},
     journal = {Documenta mathematica},
     pages = {935--979},
     publisher = {mathdoc},
     volume = {30},
     number = {4},
     year = {2025},
     doi = {10.4171/dm/1005},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/1005/}
}
TY  - JOUR
AU  - Jack Morgan Davies
TI  - Constructing and calculating Adams operations on dualisable topological modular forms
JO  - Documenta mathematica
PY  - 2025
SP  - 935
EP  - 979
VL  - 30
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/1005/
DO  - 10.4171/dm/1005
ID  - 10_4171_dm_1005
ER  - 
%0 Journal Article
%A Jack Morgan Davies
%T Constructing and calculating Adams operations on dualisable topological modular forms
%J Documenta mathematica
%D 2025
%P 935-979
%V 30
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/1005/
%R 10.4171/dm/1005
%F 10_4171_dm_1005
Jack Morgan Davies. Constructing and calculating Adams operations on dualisable topological modular forms. Documenta mathematica, Tome 30 (2025) no. 4, pp. 935-979. doi: 10.4171/dm/1005

Cité par Sources :