Geodesic
The cohomology of motivic $A(2)$
Homology, homotopy, and applications, Tome 11 (2009) no. 2, pp. 251-274.

Voir la notice de l'article provenant de la source International Press of Boston

Working over an algebraically closed field of characteristic zero, we compute the cohomology of the subalgebra $A(2)$ of the motivic Steenrod algebra that is generated by $Sq^1$, $Sq^2$, and $Sq^4$. The method of calculation is a motivic version of the May spectral sequence. Speculatively assuming that there is a “motivic modular forms” spectrum with certain properties, we use an Adams-Novikov spectral sequence to compute the homotopy of such a spectrum at the prime 2.
DOI : 10.4310/HHA.2009.v11.n2.a13
Classification : 14F42, 55S10, 55T15
Keywords: May spectral sequence, motivic homotopy theory, motivic cohomology, Steenrod algebra 
@article{HHA_2009_11_2_a13,
     author = {Daniel C. Isaksen},
     title = {The cohomology of motivic $A(2)$},
     journal = {Homology, homotopy, and applications},
     pages = {251--274},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {2009},
     doi = {10.4310/HHA.2009.v11.n2.a13},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2009.v11.n2.a13/}
}
TY  - JOUR
AU  - Daniel C. Isaksen
TI  - The cohomology of motivic $A(2)$
JO  - Homology, homotopy, and applications
PY  - 2009
SP  - 251
EP  - 274
VL  - 11
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4310/HHA.2009.v11.n2.a13/
DO  - 10.4310/HHA.2009.v11.n2.a13
LA  - en
ID  - HHA_2009_11_2_a13
ER  - 
%0 Journal Article
%A Daniel C. Isaksen
%T The cohomology of motivic $A(2)$
%J Homology, homotopy, and applications
%D 2009
%P 251-274
%V 11
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4310/HHA.2009.v11.n2.a13/
%R 10.4310/HHA.2009.v11.n2.a13
%G en
%F HHA_2009_11_2_a13
Daniel C. Isaksen. The cohomology of motivic $A(2)$. Homology, homotopy, and applications, Tome 11 (2009) no. 2, pp. 251-274. doi : 10.4310/HHA.2009.v11.n2.a13. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2009.v11.n2.a13/

Cité par Sources :