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math.KT2020★ 18 cited
A^1-Euler classes: six functors formalisms, dualities, integrality and linear subspaces of complete intersections
Tom Bachmann, Kirsten Wickelgren
We equate various Euler classes of algebraic vector bundles, including those of [BM, KW, DJK], and one suggested by M.J. Hopkins, A. Raksit, and J.-P. Serre. We establish integrali…
math.KT2015★ 15 cited
The simplicial suspension sequence in A^1-homotopy
Aravind Asok, Kirsten Wickelgren, Ben Williams
We study a version of the James model for the loop space of a suspension in unstable -homotopy theory. We use this model to establish an analog of G.W. Whitehead's c…
math.KT2012
Cartier's first theorem for Witt vectors on Z_{>= 0}^n - 0
Kirsten Wickelgren
We show that the dual of the Witt vectors on Z_{\geq 0}^n - 0 as defined by Angeltveit, Gerhardt, Hill, and Lindenstrauss represent the functor taking a commutative formal group G…