General null asymptotics and superrotation-compatible configuration spaces in d ≥ 4
Sign Up to like & getrecommendations! Published in 2021 at "Journal of High Energy Physics"
DOI: 10.1007/jhep10(2021)158
Abstract: Abstract We address the problem of consistent Campiglia-Laddha superrotations in d > 4 by solving Bondi-Sachs gauge vacuum Einstein equations at the non-linear level with the most general boundary conditions preserving the null nature of… read more here.
Keywords: configuration spaces; asymptotics superrotation; configuration; general null ... See more keywords
The Lambrechts–Stanley model of configuration spaces
Sign Up to like & getrecommendations! Published in 2018 at "Inventiones mathematicae"
DOI: 10.1007/s00222-018-0842-9
Abstract: We prove the validity over $${\mathbb {R}}$$R of a commutative differential graded algebra model of configuration spaces for simply connected closed smooth manifolds, answering a conjecture of Lambrechts–Stanley. We get as a result that the… read more here.
Keywords: lambrechts stanley; model configuration; model; stanley model ... See more keywords
Configuration spaces of products
Sign Up to like & getrecommendations! Published in 2018 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7617
Abstract: We show that the configuration spaces of a product of parallelizable manifolds may be recovered from those of the factors as the Boardman-Vogt tensor product of right modules over the operads of little cubes of… read more here.
Keywords: spaces products; configuration spaces; configuration;
Cohomology of generalized configuration spaces
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DOI: 10.1112/s0010437x19007747
Abstract: Let $X$ be a topological space. We consider certain generalized configuration spaces of points on $X$, obtained from the cartesian product $X^{n}$ by removing some intersections of diagonals. We give a systematic framework for studying… read more here.
Keywords: configuration spaces; space; configuration; cohomology generalized ... See more keywords
Torsion in Cohomology Groups of Configuration Spaces
Sign Up to like & getrecommendations! Published in 2017 at "Acta Physica Polonica A"
DOI: 10.12693/aphyspola.132.1695
Abstract: An important and surprising discovery in physics in the last fifty years is that if quantum particles are constrained to move in two rather than three dimensions, they can in principle exhibit new forms of… read more here.
Keywords: topology; torsion cohomology; configuration spaces; physics ... See more keywords