Tspectra and Poincaré Duality
Abstract
Frank Adams introduced the notion of a complex oriented cohomology theory represented by a commutative ringspectrum and proved the Poincaré Duality theorem for this general case. In the current paper we consider oriented cohomology theories on algebraic varieties represented by multiplicative symmetric $T$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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 June 2005
 DOI:
 10.48550/arXiv.math/0506017
 arXiv:
 arXiv:math/0506017
 Bibcode:
 2005math......6017P
 Keywords:

 Algebraic Geometry;
 KTheory and Homology;
 14F