Poincare duality in dimension 3
英文摘要:
The paper gives a review of progress towards extending the Thurston programme to the Poincare duality case. For a full abstract, see the published version at the above link.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。
C. T. C. Wall
The paper gives a review of progress towards extending the Thurston programme to the Poincare duality case. For a full abstract, see the published version at the above link.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。
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Property (T) and Poincaré duality in dimension three
本文通过边界扩张理论证明三维庞加莱对偶群不具有性质(T),并由此得出此类群不可能是Kähler群,同时证明了紧致3流形基本群若具有性质(T)则必为有限群。
Let G be either a finite cyclic group of prime order or S^1. We find new relations between cohomology of a manifold (or a Poincare duality space) M with a G-action on it and cohomology of the fixed point set, M^G. Our main tool is the notion of Poincare duality on the Leray spectral sequence of the map M_G -> BG. We apply our results to study group actions on 3-manifolds.
Quasimorphisms and Poincaré duality in dimension 3
研究具有粗连通拟核的无界实值拟同态的PD^3群,证明其要么是环面或克莱因瓶丛的基本群,要么拟等距于黎曼流形(R^3,g),且拟核粗等价于双曲平面;若群双曲,则在S^1上有忠实拟对称作用。
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