tmf的二初级Hurewicz像

IF 1.7 1区数学 Q1 MATHEMATICS

Geometry & Topology Pub Date : 2023-09-19 DOI:10.2140/gt.2023.27.2763

Mark Behrens, Mark Mahowald, J D Quigley

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引用次数: 14

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The 2–primary Hurewicz image of tmf

We determine the image of the 2-primary tmf-Hurewicz homomorphism, where tmf is the spectrum of topological modular forms. We do this by lifting elements of tmf_* to the homotopy groups of the generalized Moore spectrum M(8,v_1^8) using a modified form of the Adams spectral sequence and the tmf-resolution, and then proving the existence of a v_2^32-self map on M(8,v_1^8) to generate 192-periodic families in the stable homotopy groups of spheres.

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来源期刊

Geometry & Topology MATHEMATICS-

CiteScore

3.00

自引率

5.00%

发文量

审稿时长

>12 weeks

期刊介绍： Geometry and Topology is a fully refereed journal covering all of geometry and topology, broadly understood. G&T is published in electronic and print formats by Mathematical Sciences Publishers. The purpose of Geometry & Topology is the advancement of mathematics. Editors evaluate submitted papers strictly on the basis of scientific merit, without regard to authors" nationality, country of residence, institutional affiliation, sex, ethnic origin, or political views.