T-spectra and Poincar\'e Duality
Algebraic Geometry
2007-05-23 v2 K-Theory and Homology
Abstract
Frank Adams introduced the notion of a complex oriented cohomology theory represented by a commutative ring-spectrum and proved the Poincar\'e Duality theorem for this general case. In the current paper we consider oriented cohomology theories on algebraic varieties represented by multiplicative symmetric -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.
Cite
@article{arxiv.math/0506017,
title = {T-spectra and Poincar\'e Duality},
author = {Ivan Panin and Serge Yagunov},
journal= {arXiv preprint arXiv:math/0506017},
year = {2007}
}