Zobrazeno 1 - 10
of 43
pro vyhledávání: '"55P42 (primary)"'
Autor:
Bonciocat, Ciprian Mircea
In 1995, Cohen, Jones and Segal proposed a method of upgrading any given Floer homology to a stable homotopy-valued invariant. For a generic pseudo-gradient Morse-Bott flow on a closed smooth manifold $M$, we rigorously construct the conjectural stab
Externí odkaz:
http://arxiv.org/abs/2409.11278
This paper explores various differentiable structures on the product manifold $M \times \mathbb{S}^k$, where $M$ is either a 4-dimensional closed oriented manifold or a simply connected 5-dimensional closed manifold. We identify the possible stable h
Externí odkaz:
http://arxiv.org/abs/2402.18914
Autor:
Mor, Itamar
Using profinite Galois descent, we compute the Brauer group of the $K(1)$-local category relative to Morava E-theory. At odd primes this group is generated by a cyclic algebra formed using any primitive $(p-1)$st root of unity, but at the prime two i
Externí odkaz:
http://arxiv.org/abs/2310.07628
Autor:
Mor, Itamar
Using the pro\'etale site, we construct models for the continuous actions of the Morava stabiliser group on Morava E-theory, its $\infty$-category of $K(n)$-local modules, and its Picard spectrum. For the two sheaves of spectra, we evaluate the resul
Externí odkaz:
http://arxiv.org/abs/2306.05393
Autor:
Hertl, Thorsten
We prove that the canonical twist $\zeta \colon K(\mathbb{Z},3) \rightarrow BGL_1(MSpin^c)$ does not extend to a twist for unitary bordism by showing that every continuous map $f \colon K(\mathbb{Z},3) \rightarrow BGL_1(MU)$ loops to a null homotopic
Externí odkaz:
http://arxiv.org/abs/2202.09919
Autor:
VanKoughnett, Paul
We study the relationship between the transchromatic localizations of Morava $E$-theory, $L_{K(n-1)}E_n$, and formal groups. In particular, we show that the coefficient ring $\pi_0L_{K(n-1)}E_n$ has a modular interpretation, representing deformations
Externí odkaz:
http://arxiv.org/abs/2110.13869
Autor:
Baker, Andrew
In his seminal work on localisation of spectra, Ravenel initiated the study of Bousfield classes of spectra related to the chromatic perspective. In particular he showed that there were infinitely many distinct Bousfield classes between $\langle MU\r
Externí odkaz:
http://arxiv.org/abs/2103.01253
Autor:
Chatham, Hood
Let $p$ be an odd prime and let $\mathit{EO} = E_{p-1}^{hC_p}$ be the $C_p$ fixed points of height $p-1$ Morava $E$ theory. We say that a spectrum $X$ has algebraic $\mathit{EO}$ theory if the splitting of $K_*(X)$ as an $K_*[C_p]$-module lifts to a
Externí odkaz:
http://arxiv.org/abs/1908.11496
As a step towards understanding the $\mathrm{tmf}$-based Adams spectral sequence, we compute the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$, using a small presentation of $L_{K(1)}\mathrm{tmf}$ due to Hopkins. We also describe the $K
Externí odkaz:
http://arxiv.org/abs/1908.01904
Autor:
Larson, Donald M.
We compute modular forms known to arise from the order 5 generators of the 5-local Adams-Novikov spectral sequence 2-line, generalizing and contextualizing previous computations of M. Behrens and G. Laures. We exhibit analogous computations at other
Externí odkaz:
http://arxiv.org/abs/1906.08906