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Hodge cohomology of gravitational instantons

Nettet11. mai 2011 · The fact that the Gibbons–Hawking spaces are the only gravitational instantons to admit isometric quotients is proved by examining the possible fundamental groups at infinity: ... Hausel T., Hunsicker E., Mazzeo R.: Hodge cohomology of gravitational instantons. Duke Math. J. 122(3), 485–548 (2004) Article MathSciNet … Nettet• S1-invariant instantons on M4 = (singular) monopoles on R3 ... • T.Hausel, E.Hunsicker & R. Mazzeo, Hodge cohomology of gravitational instantons, Duke Math. J. 122 (2004) 485-548. 15. HYPERKAHLER QUOTIENTS ...

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NettetHis Ph.D. thesis was titled "Hodge cohomology of negatively curved manifolds." After obtaining his Ph.D. degree, Mazzeo joined Stanford University, where he became a full professor in 1997. Contributions. Mazzeo has published more than 150 mathematics papers, and his work has been cited more than 5000 times. NettetThe global gravitational anomaly of the self-dual field theory. Samuel Monnier. Laboratoire de Physique Théorique de l’École Normale Supérieure 1 1 1 Unité mixte de recherch clear gemstone https://academicsuccessplus.com

Hodge cohomology of gravitational instantons - Semantic Scholar

NettetITP–UU–08/14 , SPIN–08–13. DAMTP–2008–24. HWM–08–1 , EMPG–08–01. NI08016–SIS , ESI–2024. Cohomological gauge theory, quiver matrix models. and Donaldson– NettetWe apply our results to a number of examples, gravitational instantons among them, arising in predictions about L2 harmonic forms ... Click to show more. Hodge cohomology of gravitational instantons. Hausel T, Hunsicker E, Mazzeo R. 2004. Hodge cohomology of gravitational instantons. Duke Mathematical Journal. 122(3), … Gravitational instantons are interesting, as they offer insights into the quantization of gravity. For example, positive definite asymptotically locally Euclidean metrics are needed as they obey the positive-action conjecture; actions that are unbounded below create divergence in the quantum path integral. • A four-dimensional Kähler–Einstein manifold has a self-dual Riemann tensor. blue matching bathroom cabinet

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Category:Harmonic forms on ALF gravitational instantons - NASA/ADS

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Hodge cohomology of gravitational instantons

[1410.2864] Harmonic forms on ALF gravitational instantons

NettetHodge cohomology of gravitational instantons. T Hausel, E Hunsicker, R Mazzeo. 159: 2004: A construction of singular solutions for a semilinear elliptic equation using asymptotic analysis. R Mazzeo, F Pacard. Journal of Differential Geometry 44 … Nettet10. okt. 2014 · Abstract: We study the space of square-integrable harmonic forms over ALF gravitational instantons of type $A _{ K -1 } $ and of type $D _K $. We first calculate …

Hodge cohomology of gravitational instantons

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NettetWe study the space of L2 harmonic forms on complete manifolds with metrics of fibred boundary or fibred cusp type. These metrics generalize the geometric structures at infinity of several different well-known classes of metrics, including asymptotically locally Euclidean manifolds, the (known types of) gravitational instantons, and also Poincaré … Nettet10. okt. 2014 · We study the space of square-integrable harmonic forms over ALF gravitational instantons of type $A _{ K -1 } $ and of type $D _K $. We first calculate its dimension ...

Nettet19. jul. 2002 · Hodge cohomology of gravitational instantons. Tamas Hausel, Eugenie Hunsicker, Rafe Mazzeo. We study the space of L^2 harmonic forms on complete manifolds with metrics of fibred boundary or fibred cusp type. These metrics generalize … NettetHere we survey questions and results on the Hodge theory of hyperkähler quotients, motivated by certain S-duality considerations in string theory. The problems include harmonic forms, Betti numbers and mixed Hodge str…

Nettet10. okt. 2014 · The aim of this paper is to investigate the Hodge cohomology, that is the cohomology of square-integrable harmonic forms, of ALF gravitational instan tons. … Nettet17. sep. 2024 · We give a simple and uniform construction of essentially all known deformation classes of gravitational instantons with ALF, ALG or ALH asymptotics …

Nettet19. aug. 2002 · Hodge cohomology of gravitational instantons. August 2002; Duke Mathematical Journal 122(3) ... We apply our results to a number of examples, …

Nettetharmonic form gravitational instantons intersection cohomology several different well-known class hler manifold recent paper symmetric space known type poincar metric … blue maternity bodycon dressNettet23. mar. 2024 · We study the spectrum of the Hodge Laplacian with coefficients in a flat bundle on a closed manifold undergoing degeneration to a manifold with fibered cusps. ... Hodge cohomology of gravitational instantons, Duke Math. J. 122 (2004), no. 3, 485–548. MR 2057017, DOI 10.1215/S0012-7094-04-12233-X; clear gel water beadsNettetHodge cohomology of gravitational instantons Abstract: We study the space of L^2 harmonic forms on complete manifolds with metrics of fibred boundary or fibred cusp … blue maternity dress with sleevesNettetThe proof exploits the relationship between L2 cohomology and U(1) anti-instantons over gravitational instantons recognized by Hitchin. We then interprete these as … clear genius incNettet15. sep. 2024 · The Torelli theorem for gravitational instantons - Volume 10. 1 Introduction. Gravitational instantons were introduced by Hawking [Reference Hawking 11] as certain solutions to the classical Einstein equations.They are the building blocks of Euclidean quantum gravity and are analogous to self-dual Yang-Mills instantons … clear gemstone with black linesNettetHodge cohomology of gravitational instantons Duke Mathematical Journal . 10.1215/s0012-7094-04-12233-x blue maternity flower sashNettetLoughborough University Institutional Repository Hodge cohomology of gravitational instantons This item was submitted to Loughborough University’s Institutional … cleargen skin