欧几里得项目
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作者:Michael A. Hill
来源:[J].Homology, Homotopy and Applications(IF 0.433), 2012, Vol.14 (2), pp.143-166
摘要:We present an introduction to the equivariant slice filtration.After reviewing the definitions and basic properties, wedetermine the slice-connectivity of various families of naturallyarising spectra. This leads to an analysis of pullbacks of slicesdefined on quotient groups, pro...
作者:Michael A. Hill
来源:[J].Illinois Journal of Mathematics(IF 0.337), 2009, Vol.53 (1), pp.183-196
摘要:We compute the low dimensional String bordism groups ̃Ω k String BE 8 and ̃Ω k String ( BE 8 × BE 8) using a combination of Adams spectral sequences together with comparisons to the Spin bor...
作者:Michael A. Hill , Michael J. Hopkins , Douglas C. Ravenel
来源:[J].Current Developments in Mathematics, 2010, Vol.2009, pp.23-57
摘要:This paper gives the history and background of one of theoldest problems in algebraic topology, along with a short summary ofour solution to it and a description of some of the tools we use. Moredetails of the proof are provided in our second paper in this volume, The Arf-Ke...
作者:Michael A. Hill , Michael J. Hopkins , Douglas C. Ravenel
来源:[J].Current Developments in Mathematics, 2011, Vol.2010, pp.1-44
摘要:We provide a sketch of the proof of the non-existence of KervaireInvariant one manifolds using equivariant homotopy theory.A treatment of the statement and history of the problem can be found in“The Arf-Kervaire problem in algebraic topology: Introduction”. Ourgoal here is t...
作者:Andrew J. Blumberg , Michael A. Hill
来源:[J].Tunisian Journal of Mathematics, 2020, Vol.2 (2), pp.237-286
摘要:We describe the multiplicative structures that arise on categories of equivariant modules over certain equivariant commutative ring spectra. Building on our previous work on N ∞ ring spectra, we construct categories of equivariant operadic modules over N ∞ rings that are str...

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