On β‐elements in the Adams–Novikov spectral sequence | Zendy

Nakai Hirofumi | Zendy; Ravenel Douglas C. | Zendy

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On β‐elements in the Adams–Novikov spectral sequence

Author(s) -

Nakai Hirofumi,

Ravenel Douglas C.

Publication year - 2009

Publication title -

journal of topology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.447

H-Index - 31

eISSN - 1753-8424

pISSN - 1753-8416

DOI - 10.1112/jtopol/jtp012

Subject(s) - novikov self consistency principle , spectral sequence , mathematics , dimension (graph theory) , sequence (biology) , pure mathematics , range (aeronautics) , algebra over a field , exact sequence , biology , genetics , materials science , cohomology , composite material

In this paper we detect invariants in the comodule consisting of β‐elements over the Hopf algebroid ( A(m+1 ), G(m+1 )) defined in [4], and we show that some related Ext groups vanish below a certain dimension. The result obtained here will be extensively used in future work with Ravenel to extend the range of our knowledge for π * ( T(m )) obtained in [4].

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