Math @ Duke
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Publications [#345580] of Kirsten G. Wickelgren
Papers Published
- Asok, A; Wickelgren, K; Williams, B, The simplicial suspension sequence in A1-homotopy,
Geometry and Topology, vol. 21 no. 4
(May, 2017),
pp. 2093-2160 [doi]
(last updated on 2024/03/28)
Abstract: We study a version of the James model for the loop space of a suspension in unstable A1-homotopy theory. We use this model to establish an analog of G W Whitehead’s classical refinement of the Freudenthal suspension theorem in A1-homotopy theory: our result refines F Morel’s A1-simplicial suspension theorem. We then describe some E1-differentials in the EHP sequence in A1-homotopy theory. These results are analogous to classical results of G W Whitehead. Using these tools, we deduce some new results about unstable A1-homotopy sheaves of motivic spheres, including the counterpart of a classical rational nonvanishing result.
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