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https://hdl.handle.net/2440/137205
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DC Field | Value | Language |
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dc.contributor.author | Saratchandran, H. | - |
dc.contributor.author | Zhang, J. | - |
dc.contributor.author | Zhang, P. | - |
dc.date.issued | 2022 | - |
dc.identifier.citation | Bulletin of the Australian Mathematical Society, 2022; 107(2):320-329 | - |
dc.identifier.issn | 0004-9727 | - |
dc.identifier.issn | 1755-1633 | - |
dc.identifier.uri | https://hdl.handle.net/2440/137205 | - |
dc.description | Published online first 29 November 2023 | - |
dc.description.abstract | Let (M, g) be a closed Riemannian 4-manifold and let E be a vector bundle over M with structure group G, where G is a compact Lie group. We consider a new higher order Yang–Mills–Higgs functional, in which the Higgs field is a section of Ω0(adE). We show that, under suitable conditions, solutions to the gradient flow do not hit any finite time singularities. In the case that E is a line bundle, we are able to use a different blow-up procedure and obtain an improvement of the long-time result of Zhang [‘Gradient flows of higher order Yang–Mills–Higgs functionals’, J. Aust. Math. Soc. 113 (2022), 257–287]. The proof relies on properties of the Green function, which is very different from the previous techniques. | - |
dc.description.statementofresponsibility | Hemanth Saratchandran, Jiaogen Zhang and Pan Zhang | - |
dc.language.iso | en | - |
dc.publisher | Cambridge University Press | - |
dc.rights | © 2022 Cambridge University Press | - |
dc.source.uri | http://dx.doi.org/10.1017/s0004972722001265 | - |
dc.subject | higher order Yang–Mills–Higgs flow; line bundle; long-time existence | - |
dc.title | A New Higher Order Yang-Mills-Higgs Flow on Riemannian 4-Manifolds | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.1017/S0004972722001265 | - |
dc.relation.grant | http://purl.org/au-research/grants/arc/12201001 | - |
pubs.publication-status | Published | - |
Appears in Collections: | Australian Institute for Machine Learning publications |
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