منابع مشابه
Graded Differential Geometry of Graded Matrix Algebras
We study the graded derivation-based noncommutative differential geometry of the Z2-graded algebra M(n|m) of complex (n+m)× (n+m)-matrices with the “usual block matrix grading” (for n 6= m). Beside the (infinite-dimensional) algebra of graded forms the graded Cartan calculus, graded symplectic structure, graded vector bundles, graded connections and curvature are introduced and investigated. In...
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A recollement of triangulated categories describes one such category as being “glued together” from two others. This paper gives a precise criterion for the existence of a recollement of the derived category of a Differential Graded Algebra in terms of two other such categories.
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This is an expository paper written in 1999 and published in Seminari di Geometria Algebrica 1998-1999, Scuola Normale Superiore (1999). Six years later some arguments used here appear quite naive and obsolete but, in view of the several citations that this paper has obtained in the meantime, I preferred don’t change the mathematical contents and to fix only some typos and minor mistakes. For a...
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We investigate the relationship between differential graded algebras (dgas) and topological ring spectra. Every dga C gives rise to an Eilenberg-MacLane ring spectrum denoted HC. If HC and HD are weakly equivalent, then we say C and D are topologically equivalent. Quasiisomorphic dgas are topologically equivalent, but we produce explicit counterexamples of the converse. We also develop an assoc...
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We define Hamiltonian simplex differential graded algebras (DGA) with differentials that deform the high-energy symplectic homology differential and wrapped Floer homology differential in the cases of closed and open strings in a Liouville manifold of finite type, respectively. The order-m term in the differential is induced by varying natural degree-m coproducts over an .m 1/–simplex, where th...
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ژورنال
عنوان ژورنال: Universe
سال: 2018
ISSN: 2218-1997
DOI: 10.3390/universe4120138