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Hodge cohomology of gravitational instantons

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 … NettetHodge cohomology of gravitational instantons Duke Mathematical Journal . 10.1215/s0012-7094-04-12233-x

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Nettet25. jul. 2010 · Finally, a fibred boundary metric transforms under this coordinate change to dr 2 + r 2 h + k, which is a common form for metrics in the ALF and ALG classes of gravitational instantons, such as ... 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 … alligator apex predator https://acquisition-labs.com

CiteSeerX — Hodge cohomology of - Pennsylvania State University

NettetLoughborough University Institutional Repository Hodge cohomology of gravitational instantons This item was submitted to Loughborough University’s Institutional … Nettet10. des. 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 … 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 … alligator aquatics

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Category:[math/0207169] Hodge cohomology of gravitational instantons

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Hodge cohomology of gravitational instantons

CiteSeerX — Hodge cohomology of - Pennsylvania State University

Nettet29. jun. 2011 · Yang-Mills instantons on ALE gravitational instantons were constructed by Kronheimer and Nakajima in terms of matrices satisfying algebraic equations. ... 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), …

Hodge cohomology of gravitational instantons

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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 … NettetBibTeX @MISC{Hausel04hodgecohomology, author = {T. Hausel and Eugenie Hunsicker and Rafe Mazzeo}, title = {Hodge cohomology of gravitational instantons}, year = …

NettetHodge 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 … Nettet17. sep. 2024 · Hodge cohomology of gravitational instantons. Article. Full-text available. Aug 2002; DUKE MATH J; Tamas Hausel; Eugenie Hunsicker; Rafe Mazzeo; We study the space of L^2 harmonic forms on ...

Nettet4. nov. 2011 · We give a simple and uniform construction of essentially all known deformation classes of gravitational instantons with ALF, ALG or ALH asymptotics … Nettetand Dai [17]. We apply our results to a number of examples, gravitational instantons among them, arising in predictions about L2 harmonic forms in duality theories in string theory. 1 Introduction The Hodge theorem for a compact Riemannian manifold (M,g) identifies the space L2H∗(M,g) of L2 harmonic forms on Mwith the de Rham …

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 ...

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. alligator aqua vliesNettetA Torelli-type theorem for gravitational instantons. J. Diff. Geom., 29(3):685– 697, 1989. MATH MathSciNet Google Scholar ... MATH MathSciNet Google Scholar R. Mazzeo. The Hodge cohomology of a conformally compact metric. J. Diff. Geom., 28:309– 339, 1988. MATH MathSciNet Google Scholar R. Mazzeo and R ... alligator appetizer recipesNettet10. 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 … alligator appetizerNettetITP–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– alligator appearanceNettet6. okt. 2010 · On Yang–Mills-instantons over multi-centered gravitational instantons. Comm. Math. Phys. 235, 275–288 (2003) ... Hodge cohomology of gravitational instantons. Duke Math. J. 122, 485–548 (2004) Article MATH MathSciNet Google Scholar Hawking S.W.: Gravitational instantons. Phys. Lett. A60, 81–83 (1977) MathSciNet ... alligator art caltinoGravitational 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. alligator appleNettetharmonic form gravitational instantons intersection cohomology several different well-known class hler manifold recent paper symmetric space known type poincar metric … alligator aquarium