Zobrazeno 1 - 10
of 34
pro vyhledávání: '"BALDERRAMA, WILLIAM"'
In a previous paper, one of us interpreted mod 2 Dyer-Lashof operations as explicit A-module extensions between Brown-Gitler modules, and showed these A-modules can be topologically realized by finite spectra occurring as fibers of maps between 2-loc
Externí odkaz:
http://arxiv.org/abs/2409.16384
We identify the motivic $KGL/2$-local sphere as the fiber of $\psi^3-1$ on $(2,\eta)$-completed Hermitian $K$-theory, over any base scheme containing $1/2$. This is a motivic analogue of the classical resolution of the $K(1)$-local sphere, and extend
Externí odkaz:
http://arxiv.org/abs/2307.13512
Autor:
Balderrama, William
We study equivalences of the form $\Sigma^{V}X\simeq \Sigma^{W}X$, where $G$ is a compact Lie group, $X$ is a $G$-spectrum, and $V$ and $W$ are $G$-representations. These equivalences encode a periodicity phenomenon in $G$-equivariant homotopy theory
Externí odkaz:
http://arxiv.org/abs/2306.11000
Autor:
Balderrama, William, Kuhn, Nicholas J.
A recent theorem by T. Barthel, M. Hausmann, N. Naumann, T. Nikolaus, J. Noel, and N. Stapleton says that if A is a finite abelian p-group of rank r, then any finite A-space X which is acyclic in the nth Morava K-theory with n at least r will have it
Externí odkaz:
http://arxiv.org/abs/2303.02022
Autor:
Balderrama, William
Let $E\mathbb{R}$ be an even-periodic Real Landweber exact $C_2$-spectrum, and $ER$ its spectrum of fixed points. We compute the $ER$-cohomology of the infinite stunted projective spectra $P_j$. These cohomology groups combine to form the $RO(C_2)$-g
Externí odkaz:
http://arxiv.org/abs/2207.06934
Autor:
Balderrama, William
We describe how power operations descend through homotopy limit spectral sequences. We apply this to describe how norms appear in the $C_2$-equivariant Adams spectral sequence, to compute norms on $\pi_0$ of the equivariant $KU$-local sphere, and to
Externí odkaz:
http://arxiv.org/abs/2205.07409
Autor:
Balderrama, William
We compute the $RO(A)$-graded coefficients of $A$-equivariant complex and real topological $K$-theory for $A$ a finite elementary abelian $2$-group, together with all products, transfers, restrictions, power operations, and Adams operations.
Com
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Externí odkaz:
http://arxiv.org/abs/2201.03095
We investigate forms of the Hopf invariant one problem in motivic homotopy theory over arbitrary base fields of characteristic not equal to $2$. Maps of Hopf invariant one classically arise from unital products on spheres, and one consequence of our
Externí odkaz:
http://arxiv.org/abs/2112.07479
Autor:
Balderrama, William
We develop and exposit some general algebra useful for working with certain algebraic structures that arise in stable homotopy theory, such as those encoding well-behaved theories of power operations for $\mathbb{E}_\infty$ ring spectra. In particula
Externí odkaz:
http://arxiv.org/abs/2108.06802
Autor:
Balderrama, William
We develop a homotopical variant of the classic notion of an algebraic theory as a tool for producing deformations of homotopy theories. From this, we extract a framework for constructing and reasoning with obstruction theories and spectral sequences
Externí odkaz:
http://arxiv.org/abs/2108.06801