About the transitivity of the property of being Segal topological algebra
Acta et Commentationes Universitatis Tartuensis de Mathematica, 2022 We show that if (A, f, B) and (B, g, C) are left (right or two-sided) Segal topological algebras for which g(f(A))⊆ g(B)g(f(A)) (g(f(A))⊆ g(f(A))g(B) or g(f(A))⊆ g(B)g(f(A))∩ g(f(A))g(B), respectively), then (A, g∘ f, C) is also a left (right or two-sided, respectively) Segal topological algebra.
M. Abel
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Constructing new Segal topological algebras from existing ones
Proceedings of the Estonian Academy of SciencesIn this paper, we examine the properties of Segal topological algebras, looking at ways to construct new objects from existing ones. Equipped with the example of algebras (in the sense of vector spaces equipped with multiplication), we consider two approaches: one via a direct product of an arbitrary family of Segal topological algebras and another ...
René Piik, Mart Abel
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TQFT, homological algebra and elements of K. Saito's theory of Primitive form: an attempt of mathematical text written by mathematical physicist [PDF]
, 2023 . The text is devoted to explanation of the concept of Topological Quantum Field Theory (TQFT), its application to homological algebra and to the relation with the theory of good section from K.Saito’s theory of Primitive forms.
A. Losev
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Covariant action for conformal higher spin gravity [PDF]
Journal of Physics A: Mathematical and Theoretical, 2022 Conformal higher spin (HS) gravity is a HS extension of Weyl gravity and is a family of local HS theories, which was put forward by Segal and Tseytlin. We propose a manifestly covariant and coordinate-independent action for these theories.
Thomas Basile +2 more
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Continuous Dependence on the Initial Data in the Kadison Transitivity Theorem and GNS Construction [PDF]
Reviews in Mathematical Physics, 2021 We consider how the outputs of the Kadison transitivity theorem and Gelfand-Naimark-Segal construction may be obtained in families when the initial data are varied.
D. Spiegel +5 more
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Factorization homology of topological manifolds [PDF]
, 2012 Factorization homology theories of topological manifolds, after Beilinson, Drinfeld, and Lurie, are homology‐type theories for topological n ‐manifolds whose coefficient systems are n ‐disk algebras or n ‐disk stacks.
David Ayala, J. Francis
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Products and coproducts in the category S(B) of Segal topological algebras
Proceedings of the Estonian Academy of Sciences, 2019 Let B be a topological algebra and S(B) the category of Segal topological algebras. In the present paper we show that all coproducts of two objects of the category S(B) always exist.
M. Abel
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The McCord Model for the Tensor Product of a Space and a Commutative Ring Spectrum [PDF]
, 2002 We begin this paper by noting that, in a 1969 paper in the Transactions, M.C. McCord introduced a construction that can be interpreted as a model for the categorical tensor product of a based space and a topological abelian group.
N. Kuhn
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About the cocompleteness of the category S(B) of Segal topological algebras
Proceedings of the Estonian Academy of Sciences, 2020 In this paper, we show that the category S(B) of Segal topological algebras is cocomplete, i.e., that the colimits of all direct systems in the category S(B) exist.
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Open-closed field theories, string topology, and Hochschild homology
, 2009 In this expository paper we discuss a project regarding the string topology of a manifold, that was inspired by recent work of Moore-Segal, Costello, and Hopkins and Lurie, on "open-closed topological conformal field theories".
Blumberg, Andrew J. +2 more
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