Naumann, Niko and Spitzweck, Markus and Ostvaer, Paul Arne (2009) MOTIVIC LANDWEBER EXACTNESS. DOCUMENTA MATHEMATICA, 14. pp. 551-593. ISSN 1431-0643,
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We prove a motivic Landweber exact functor theorem. The main result shows the assignment given by a Landweber-type formula involving the MGL-homology of a motivic spectrum defines a homology theory on the motivic stable homotopy category which is representable by a Tate spectrum. Using a universal coefficient spectral sequence we deduce formulas for operations of certain motivic Landweber exact spectra including homotopy algebraic K-theory. Finally we employ a Chern character between motivic spectra in order to compute rational algebraic cobordism groups over fields in terms of rational motivic cohomology groups and the Lazard ring.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ALGEBRAIC K-THEORY; HIGHER CHOW GROUPS; HOMOTOPY-THEORY; COBORDISM; SPECTRA; COHOMOLOGY; SCHEMES; MODULES; THEOREM; STACK; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Niko Naumann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 12 Oct 2020 12:35 |
| Last Modified: | 12 Oct 2020 12:35 |
| URI: | https://pred.uni-regensburg.de/id/eprint/29712 |
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