Hodge cohomology of gravitational instantons
Nettet10. jul. 2015 · Our Hodge theorem can be seen as a natural generalization, from the setting of smooth Kähler manifolds to the singular Witt setting, of the result by Timmerscheidt in which the \(L^2\) cohomology of the complement of a normal crossings divisor in a Kähler manifold, endowed with a particular complete metric, is shown to be … 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.
Hodge cohomology of gravitational instantons
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Nettetharmonic form gravitational instantons intersection cohomology several different well-known class hler manifold recent paper symmetric space known type poincar metric … NettetLoughborough University Institutional Repository Hodge cohomology of gravitational instantons This item was submitted to Loughborough University’s Institutional …
Nettet18. nov. 2024 · R. Mazzeo and X. Zhu, Tian-Yau metrics: Fredholm theory, Hodge cohomology and moduli spaces, in preparation. A Torelli theorem for algebraic … NettetAbstract. We 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 …
NettetSUSTech Library Media Center. 帮助. 分类导航. 学科. A马恩列斯毛邓理论; B哲学、宗教 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 · 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 …
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 … cnh capital make paymentNettetHis 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. cnis alineNettet10. 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. … cnic support agreementsNettetThe proof exploits the relationship between L2 cohomology and U(1) anti-instantons over gravitational instantons recognized by Hitchin. We then interprete these as reducible points in a singular SU(2) anti-instanton moduli space over the compactification providing the identification of its intersection form. cnn bond yield ratesNettetThe proof exploits the relationship between L2 cohomology and U(1) anti-instantons over gravitational instantons recognized by Hitchin. We then interprete these as … cnn election texasNettetHodge 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 … cnn and memeNettetWe 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 … cnn anchors and reporters profile