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T-spectra and Poincaré Duality | | Ivan Panin
; Serge Yagunov
; | | Date: |
1 Jun 2005 | | Subject: | Algebraic Geometry; K-Theory and Homology MSC-class: 14F | math.AG math.KT | | 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 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. | | Source: | arXiv, math.AG/0506017 | | Services: | Forum | Review | PDF | Favorites | |
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