Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Ormsby, Kyle"'
Autor:
Bao, Linus, Hazel, Christy, Karkos, Tia, Kessler, Alice, Nicolas, Austin, Ormsby, Kyle, Park, Jeremie, Schleff, Cait, Tilton, Scotty
We prove that Hill's characteristic function $\chi$ for transfer systems on a lattice $P$ surjects onto interior operators for $P$. Moreover, the fibers of $\chi$ have unique maxima which are exactly the saturated transfer systems. In order to apply
Externí odkaz:
http://arxiv.org/abs/2310.13835
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
We provide a general recursive method for constructing transfer systems on finite lattices. Using this we calculate the number of homotopically distinct $N_\infty$ operads for dihedral groups $D_{p^n}$, $p > 2$ prime, and cyclic groups $C_{qp^n}$, $p
Externí odkaz:
http://arxiv.org/abs/2209.06992
Publikováno v:
Tunisian J. Math. 5 (2023) 479-504
We isolate a class of groups -- called lossless groups -- for which homotopy classes of $G$-$N_\infty$ operads are in bijection with certain restricted transfer systems on the poset of conjugacy classes $\operatorname{Sub}(G)/G$.
Comment: v2: up
Comment: v2: up
Externí odkaz:
http://arxiv.org/abs/2209.06798
We investigate the rich combinatorial structure of premodel structures on finite lattices whose weak equivalences are closed under composition. We prove that there is a natural refinement of the inclusion order of weak factorization systems so that t
Externí odkaz:
http://arxiv.org/abs/2209.03454
We perform Hochschild homology calculations in the algebro-geometric setting of motives. The motivic Hochschild homology coefficient ring contains torsion classes which arise from the mod-$p$ motivic Steenrod algebra and from generating functions on
Externí odkaz:
http://arxiv.org/abs/2204.00441
Transfer systems are combinatorial objects which classify $N_\infty$ operads up to homotopy. By results of A. Blumberg and M. Hill, every transfer system associated to a linear isometries operad is also saturated (closed under a particular two-out-of
Externí odkaz:
http://arxiv.org/abs/2109.08210
We initiate the study of model structures on (categories induced by) lattice posets, a subject we dub homotopical combinatorics. In the case of a finite total order $[n]$, we enumerate all model structures, exhibiting a rich combinatorial structure e
Externí odkaz:
http://arxiv.org/abs/2109.07803
Publikováno v:
In European Journal of Combinatorics February 2024 116
For a finite group $G$, $G$-transfer systems are combinatorial objects which encode the homotopy category of $G$-$N_\infty$ operads, whose algebras in $G$-spectra are $E_\infty$ $G$-spectra with a specified collection of multiplicative norms. For $G$
Externí odkaz:
http://arxiv.org/abs/2102.04415