Results 1 to 10 of about 14,012 (75)
Cellular Cohomology in Homotopy Type Theory [PDF]
Logical Methods in Computer Science, 2020 We present a development of cellular cohomology in homotopy type theory. Cohomology associates to each space a sequence of abelian groups capturing part of its structure, and has the advantage over homotopy groups in that these abelian groups of many ...
Ulrik Buchholtz, Kuen-Bang Hou
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Gallery Posets of Supersolvable Arrangements [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We introduce a poset structure on the reduced galleries in a supersolvable arrangement of hyperplanes. In particular, for Coxeter groups of type A or B, we construct a poset of reduced words for the longest element whose Hasse diagram is the graph of ...
Thomas McConville
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A remark on the contactomorphism group of overtwisted contact spheres
Comptes Rendus. Mathématique, 2020 We show the existence of elements of infinite order in some homotopy groups of the contactomorphism group of overtwisted spheres. It follows in particular that the contactomorphism group of some high dimensional overtwisted spheres is not homotopically ...
Fernández, Eduardo, Gironella, Fabio
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A uniqueness theorem for stable homotopy theory [PDF]
, 1999 In this paper we study the global structure of the stable homotopy theory of spectra. We establish criteria for when the homotopy theory associated to a given stable model category agrees with the classical stable homotopy theory of spectra.
Schwede, Stefan, Shipley, Brooke
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Equivariant properties of symmetric products [PDF]
, 2017 The filtration on the infinite symmetric product of spheres by the number of factors provides a sequence of spectra between the sphere spectrum and the integral Eilenberg-Mac Lane spectrum.
Schwede, Stefan
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Singularities and stable homotopy groups of spheres I [PDF]
, 2017 We establish an interesting connection between Morin singularities and stable homotopy groups of spheres. We apply this connection to computations of cobordism groups of certain singular maps.
Nagy, Csaba +2 more
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Characteristics for E∞ ring spectra [PDF]
, 2018 We introduce a notion of characteristic for connective p-local E∞ ring spectra and study some basic properties. Apart from examples already pointed out by Markus Szymik, we investigate some examples built from Hopf invariant 1 elements in the stable ...
Baker, Andrew
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SciPost PhysicsExceptional points at which eigenvalues and eigenvectors of non-Hermitian matrices coalesce are ubiquitous in the description of a wide range of platforms from photonic or mechanical metamaterials to open quantum systems.
Tsuneya Yoshida, Emil J. Bergholtz, Tomáš Bzdušek
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Smash products for secondary homotopy groups [PDF]
, 2006 We construct a smash product operation on secondary homotopy groups yielding the structure of a lax symmetric monoidal functor. Applications on cup-one products, Toda brackets and Whitehead products are considered.
D. Conduché +19 more
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Graphing, homotopy groups of spheres, and spaces of long links and knots
Forum of Mathematics, SigmaWe study homotopy groups of spaces of long links in Euclidean space of codimension at least three. With multiple components, they admit split injections from homotopy groups of spheres.
Robin Koytcheff
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