Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Daniel C. Isaksen"'
Autor:
Eva Belmont, Daniel C. Isaksen
Publikováno v:
Journal of Topology. 15:1755-1793
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3724b5163448853bc916a061f73887bf
https://doi.org/10.1112/topo.12256
https://doi.org/10.1112/topo.12256
Publikováno v:
Journal of the European Mathematical Society. 24:3597-3628
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9fc194ab3d4d76f799f9e0c6624e3e07
https://doi.org/10.4171/jems/1171
https://doi.org/10.4171/jems/1171
Publikováno v:
Proceedings of the American Mathematical Society. 149:53-61
We show that the stable homotopy groups of the C 2 C_2 -equivariant sphere spectrum and the R \mathbb {R} -motivic sphere spectrum are isomorphic in a range. This result supersedes previous work of Dugger and the third author.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f3c256bb7b3b75218b35b00b34de3234
https://doi.org/10.1090/proc/15167
https://doi.org/10.1090/proc/15167
Publikováno v:
Proc Natl Acad Sci U S A
Significance The geometric objects of interest in algebraic topology can be constructed by fitting together spheres of varying dimensions. The homotopy groups of spheres describe the ways in which spheres can be attached to each other. From the viewp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::87b577b39d95b131d4bbf00a01a31c64
https://doi.org/10.1073/pnas.2012335117
https://doi.org/10.1073/pnas.2012335117
Using techniques in motivic homotopy theory, especially the theorem of Gheorghe, the second and the third author on the isomorphism between motivic Adams spectral sequence for $C{\tau}$ and the algebraic Novikov spectral sequence for $BP_*$, we compu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aaf37336b9bb8c0863d2b93e31e10f0e
http://arxiv.org/abs/2001.04511
http://arxiv.org/abs/2001.04511
Autor:
Daniel C. Isaksen, Paul Arne Østvær
Publikováno v:
Handbook of Homotopy Theory ISBN: 9781351251624
Motivic homotopy theory was developed by Morel and Voevodsky in the 1990s. The original motivation for the theory was to import homotopical techniques into algebraic geometry. This chapter introduces the motivic Adams spectral sequence, which is one
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19f38623807ad5044279bd08264e8abd
http://hdl.handle.net/10852/83507
http://hdl.handle.net/10852/83507
Publikováno v:
Journal of Homotopy and Related Structures. 13:847-865
We show that the Picard group $${{\mathrm{Pic}}}(\mathcal {A}_\mathbb {C}(1))$$ of the stable category of modules over $$\mathbb {C}$$ -motivic $$\mathcal {A}_\mathbb {C}(1)$$ is isomorphic to $$\mathbb {Z}^4$$ . By comparison, the Picard group of cl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a01a3baef89a8cf8aff8907108549d16
https://doi.org/10.1007/s40062-018-0200-z
https://doi.org/10.1007/s40062-018-0200-z
Autor:
Daniel Dugger, Daniel C. Isaksen
Publikováno v:
Proceedings of the American Mathematical Society. 145:3617-3627
We establish an isomorphism between the stable homotopy groups π ^ s , w R \hat {\pi }^{\mathbb {R}}_{s,w} of the 2-completed R \mathbb {R} -motivic sphere spectrum and the stable homotopy groups π ^ s , w Z / 2 \hat {\pi }^{\mathbb {Z}/2}_{s,w} of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1b55a83537e4f4c760b991d9f052186b
https://doi.org/10.1090/proc/13505
https://doi.org/10.1090/proc/13505
Autor:
Daniel C. Isaksen, Daniel Dugger
Publikováno v:
Annals of K-Theory. 2:175-210
This article computes some motivic stable homotopy groups over R. For 0
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::867c4c9464d3138bd7a226e46d97d9a0
https://doi.org/10.2140/akt.2017.2.175
https://doi.org/10.2140/akt.2017.2.175
Autor:
Daniel C. Isaksen
The author presents a detailed analysis of 2-complete stable homotopy groups, both in the classical context and in the motivic context over $\mathbb C$. He uses the motivic May spectral sequence to compute the cohomology of the motivic Steenrod algeb