Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/123910
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Full metadata record
DC Field | Value | Language |
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dc.contributor.author | Guo, H. | - |
dc.contributor.author | Varghese, M. | - |
dc.contributor.author | Wang, H. | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | Journal of Noncommutative Geometry, 2019; 13(4):1381-1433 | - |
dc.identifier.issn | 1661-6952 | - |
dc.identifier.issn | 1661-6960 | - |
dc.identifier.uri | http://hdl.handle.net/2440/123910 | - |
dc.description.abstract | For G an almost-connected Lie group, we study G-equivariant index theory for proper co-compact actions with various applications, including obstructions to and existence of G-invariant Riemannian metrics of positive scalar curvature. We prove a rigidity result for almost-complex manifolds, generalising Hattori’s results, and an analogue of Petrie’s conjecture. When G is an almost-connected Lie group or a discrete group, we establish Poincaré duality between G-equivariant K-homology and K-theory, observing that Poincaré duality does not necessarily hold for general G. | - |
dc.description.statementofresponsibility | Hao Guo, Varghese Mathai and Hang Wang | - |
dc.language.iso | en | - |
dc.publisher | European Mathematical Society | - |
dc.rights | © European Mathematical Society | - |
dc.source.uri | https://www.ems-ph.org/journals/journal.php?jrn=jncg | - |
dc.subject | Positive scalar curvature; equivariant index theory; equivariant Poincaré duality; proper actions; almost-connected Lie groups; discrete groups; equivariant geometric K-homology; equivariant Spinc-rigidity | - |
dc.title | Positive scalar curvature and Poincaré duality for proper actions | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.4171/JNCG/321 | - |
dc.relation.grant | http://purl.org/au-research/grants/arc/DP170101054 | - |
dc.relation.grant | http://purl.org/au-research/grants/arc/FL170100020 | - |
dc.relation.grant | http://purl.org/au-research/grants/arc/DE160100525 | - |
pubs.publication-status | Published | - |
dc.identifier.orcid | Varghese, M. [0000-0002-1100-3595] | - |
Appears in Collections: | Aurora harvest 8 Mathematical Sciences publications |
Files in This Item:
File | Description | Size | Format | |
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hdl_123910.pdf | Accepted version | 697.57 kB | Adobe PDF | View/Open |
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