Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Gregory Arone"'
Publikováno v:
SciPost Physics, Vol 7, Iss 2, p 019 (2019)
We extend the list of known band structure topologies to include a large family of hyperbolic nodal links and knots, occurring both in conventional Hermitian systems where their stability relies on discrete symmetries, and in the dissipative non-H
Externí odkaz:
https://doaj.org/article/eff311d78fc24645ac4b1f7396974c24
Autor:
Gregory Arone, Lukas Brantner
Publikováno v:
Publications Mathématiques de L'IHÉS
We study the restrictions, the strict fixed points, and the strict quotients of the partition complex $|\Pi_n|$, which is the $\Sigma_n$-space attached to the poset of proper nontrivial partitions of the set $\{1,\ldots,n\}$. We express the space of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9201905ecfa5ea979df11f809e63f9c2
https://doi.org/10.1007/s10240-021-00123-7
https://doi.org/10.1007/s10240-021-00123-7
Autor:
Markus Szymik, Gregory Arone
Suppose that $N_1$ and $N_2$ are closed smooth manifolds of dimension $n$ that are homeomorphic. We prove that the spaces of smooth knots $Emb(S^1, N_1)$ and $Emb(S^1, N_2)$ have the same homotopy $(2n-7)$-type. In the 4-dimensional case this means t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::40bdce01fe03ff89050142c25468b52d
http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-189689
http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-189689
In a companion paper [ABS1] we introduced the stable $\infty$-category of noncommutative CW-spectra, which we denoted $\mathtt{NSp}$. Let $\mathcal{M}$ denote the full spectrally enriched subcategory of $\mathtt{NSp}$ whose objects are the non-commut
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd09e6fd1b3335d265b1e23e5ed30709
http://arxiv.org/abs/2101.09778
http://arxiv.org/abs/2101.09778
Autor:
Gregory Arone, Kathryn Lesh
Suppose F is a special Gamma-space equipped with a natural transformation to the infinite symmetric power functor. Segal's infinite loop space machine associates with F a spectrum, denoted kF, equipped with a map to the integral Eilenberg-Mac Lane sp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c4c82cb974ae8a6bd473841c2bf5e1e
http://arxiv.org/abs/2003.09947
http://arxiv.org/abs/2003.09947
Autor:
Gregory Arone, Kathryn Lesh
We study the equivariant homotopy type of the poset of orthogonal decompositions of a finite-dimensional complex vector space. Suppose that n is a power of a prime p, and that D is an elementary abelian p-subgroup of U(n) acting on complex n-space by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a0d20717c4382b09e19ea788e4d4c391
http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-189276
http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-189276
Autor:
Gregory Arone, Michael Ching
Publikováno v:
Handbook of Homotopy Theory ISBN: 9781351251624
Goodwillie calculus is a method for analyzing functors that arise in topology. One may think of this theory as a categorification of the classical differential calculus of Newton and Leibnitz, and it was introduced by Tom Goodwillie in a series of fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b0f3d4e5b4c134ee04e5e94c5e71f9f7
http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-189685
http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-189685
We study Bredon homology approximations for spaces with an action of a compact Lie group G. We show that if M is a coMackey functor satisfying mild p-locality conditions, then Bredon homology of a G-space X with coefficients in M is determined by fix
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df09068177ede091014c82cd1e2f9063
Autor:
Gregory Arone, Michael Ching
Publikováno v:
Advances in Mathematics. 272:471-552
We describe new structure on the Goodwillie derivatives of a functor, and we show how the full Taylor tower of the functor can be recovered from this structure. This new structure takes the form of a coalgebra over a certain comonad which we construc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc01f03ab8b39925aeaa78bb92df19f0
https://doi.org/10.1016/j.aim.2014.12.007
https://doi.org/10.1016/j.aim.2014.12.007
This volume contains the proceedings of the conference on Manifolds, $K$-Theory, and Related Topics, held from June 23–27, 2014, in Dubrovnik, Croatia. The articles contained in this volume are a collection of research papers featuring recent advan