Results 21 to 30 of about 9,409 (89)
Strongly invertible knots, equivariant slice genera, and an equivariant algebraic concordance group
Journal of the London Mathematical Society, Volume 107, Issue 6, Page 2025-2053, June 2023., 2023 Abstract We use the Blanchfield form to obtain a lower bound on the equivariant slice genus of a strongly invertible knot. For our main application, let K$K$ be a strongly invertible genus one slice knot with nontrivial Alexander polynomial. We show that the equivariant slice genus of an equivariant connected sum #nK$\#^n K$ is at least n/4$n/4$.
Allison N. Miller, Mark Powell
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Group and Lie algebra filtrations and homotopy groups of spheres
Journal of Topology, Volume 16, Issue 2, Page 822-853, June 2023., 2023 Abstract We establish a bridge between homotopy groups of spheres and commutator calculus in groups, and solve in this manner the “dimension problem” by providing a converse to Sjogren's theorem: every abelian group of bounded exponent can be embedded in the dimension quotient of a group.
Laurent Bartholdi, Roman Mikhailov
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Simplicial volume and essentiality of manifolds fibered over spheres
Journal of Topology, Volume 16, Issue 1, Page 192-206, March 2023., 2023 Abstract We study the question when a manifold that fibers over a sphere can be rationally essential, or have positive simplicial volume. More concretely, we show that mapping tori of manifolds (whose fundamental groups can be quite arbitrary) of dimension 2n+1⩾7$2n +1 \geqslant 7$ with non‐zero simplicial volume are very common.
Thorben Kastenholz, Jens Reinhold
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Journal of the London Mathematical Society, Volume 106, Issue 3, Page 1663-1724, October 2022., 2022 Abstract Through the glasses of didactic reduction, we consider a (periodic) tessellation Δ$\Delta$ of either Euclidean or hyperbolic n$n$‐space M$M$. By a piecewise isometric rearrangement of Δ$\Delta$ we mean the process of cutting M$M$ along corank‐1 tile‐faces into finitely many convex polyhedral pieces, and rearranging the pieces to a new tight ...
Robert Bieri, Heike Sach
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On set star-Lindelöf spaces [PDF]
, 2022 [EN] A space X is said to be set star-Lindelöf if for each nonempty subset A of X and each collection U of open sets in X such that A ⊆ SU, there is a countable subset V of U such that A ⊆ St(SV, U). The class of set star-Lindelöf spaces lie between the
Singh, Sumit
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The anomaly that was not meant IIB
Fortschritte der Physik, Volume 70, Issue 1, January 2022., 2022 Abstract Type IIB supergravity enjoys a discrete non‐Abelian duality group, which has potential quantum anomalies. In this paper we explicitly compute these, and present the bordism group that controls them, modulo some physically motivated assumptions.
Arun Debray +3 more
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When is a monotone function cyclically monotone?
Theoretical Economics, Volume 16, Issue 3, Page 853-879, July 2021., 2021 We provide sufficient conditions for a monotone function with a finite set of outcomes to be cyclically monotone. Using these conditions, we show that any monotone function defined on the domain of gross substitutes is cyclically monotone. The result also extends to the domain of generalized gross substitutes and complements.
Alexey I. Kushnir, Lev V. Lokutsievskiy
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On topological Hochschild homology of the K(1)‐local sphere
Journal of Topology, Volume 14, Issue 1, Page 258-290, March 2021., 2021 Abstract We compute mod (p,v1) topological Hochschild homology of the connective cover of the K(1)‐local sphere spectrum for all primes p⩾3. This is accomplished using a May‐type spectral sequence in topological Hochschild homology constructed from a filtration of a commutative ring spectrum.
Gabriel Angelini‐Knoll
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More on Selective Covering Properties in Bitopological Spaces
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this study, we continue our investigation of selective covering properties in bitopological spaces. We discuss their behaviour under certain kinds of mappings. We also introduce selective versions of the ccc property and the star‐ccc property in bitopological spaces and give few of their relations with other selective properties.
Ljubiša D. R. Kočinac +2 more
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The Hurewicz map in motivic homotopy theory
, 2021 For an $\A^1$-connected pointed simplicial sheaf $\sX$ over a perfect field $k$, we prove that the Hurewicz map $\pi_1^{\A^1}(\sX) \to H_1^{\A^1}(\sX)$ is surjective. We also observe that the Hurewicz map for $\P^1_k$ is the abelianisation map.
Hogadi, Amit, Choudhury, Utsav
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