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pro vyhledávání: '"Balderrama ÍF"'
We introduce the $C_{p^n}$-Mahowald invariant: a relation $\pi_\star S_{C_{p^{n-1}}} \rightharpoonup \pi_\ast S$ between the equivariant and classical stable stems which reduces to the classical Mahowald invariant when $n=1$. We compute the $C_{p^n}$
Externí odkaz:
http://arxiv.org/abs/2411.00421
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
This paper analyses the optimal control of infectious disease propagation using a classic susceptible-infected-recovered (SIR) model characterised by permanent immunity and the absence of available vaccines. The control is performed over a time-depen
Externí odkaz:
http://arxiv.org/abs/2406.06770
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 Prieto, Silvino A., Williams, Nicholas, Palmer, Jason, Roper, Robin V., Christensen, Richard N., Sabharwall, Piyush, Marotta, Paul
Publikováno v:
In Measurement 30 January 2025 240
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
Com
Externí odkaz:
http://arxiv.org/abs/2201.03095