Symmetric Ltheory

General Introduction
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Search results
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Online References
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Paper References
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Definition
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Properties
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Standard theorems
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Open Problems
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Connections to Number Theory
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Computations and Examples
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History and Applications
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Some Research Articles
Preprint in progress of Rognes: Symmetric Ltheory and Z/2Tateified algebraic Ktheory
[arXiv:0907.2367] Multiplicative properties of Quinn spectra from arXiv Front: math.AT by Gerd Laures, James E. McClure We give a simple sufficient condition for Quinn's ``bordismtype spectra'' to be weakly equivalent to strictly associative ring spectra. We also show that PoincarĂ© bordism and symmetric Ltheory are naturally weakly equivalent to monoidal functors. Part of the proof of these statements involves showing that Quinn's functor from bordismtype theories to spectra lifts to the category of symmetric spectra. We also give a new account of the foundations
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Other Information
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