Abstract
Frank Adams introduced the notion of a complex oriented cohomology theory represented by a commutative ring spectrum and proved the Poincaré Duality Theorem for this general case. In the current paper we consider oriented cohomology theories on algebraic varieties represented by symmetric commutative ring T -spectra and prove the Duality Theorem, which mimics the result of Adams. This result is held, in particular, for Motivic Cohomology and Algebraic Cobordism of Voevodsky.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal für die reine und angewandte Mathematik (Crelles Journal)
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
