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T-spectra and Poincaré Duality

Ivan Panin·Serge Yagunov
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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.

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Ivan Panin, Serge Yagunov. 2005-06-03. T-spectra and Poincaré Duality. https://arxiv.org/abs/math/0506017

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