The Riemann-Roch theorem on higher dimensional complex noncommutative tori

Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/122600

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DC Field	Value	Language
dc.contributor.author	Varghese, M.	-
dc.contributor.author	Rosenberg, J.	-
dc.date.issued	2020	-
dc.identifier.citation	Journal of Geometry and Physics, 2020; 147:103534-1-103534-9	-
dc.identifier.issn	0393-0440	-
dc.identifier.issn	1879-1662	-
dc.identifier.uri	http://hdl.handle.net/2440/122600	-
dc.description.abstract	We prove analogues of the Riemann–Roch Theorem and the Hodge Theorem for noncommutative tori (of any dimension) equipped with complex structures, and discuss implications for the question of how to distinguish “noncommutative abelian varieties” from “non-algebraic” noncommutative complex tori.	-
dc.description.statementofresponsibility	Varghese Mathai, Jonathan Rosenberg	-
dc.language.iso	en	-
dc.publisher	Elsevier	-
dc.rights	© 2019 Elsevier B.V. All rights reserved.	-
dc.source.uri	http://dx.doi.org/10.1016/j.geomphys.2019.103534	-
dc.subject	Noncommutative torus; Abelian variety; Index theory; Riemann–Roch Theorem; Hodge theorem	-
dc.title	The Riemann-Roch theorem on higher dimensional complex noncommutative tori	-
dc.type	Journal article	-
dc.identifier.doi	10.1016/j.geomphys.2019.103534	-
dc.relation.grant	http://purl.org/au-research/grants/arc/FL170100020	-
pubs.publication-status	Published	-
dc.identifier.orcid	Varghese, M. [0000-0002-1100-3595]	-
Appears in Collections:	Aurora harvest 8 Mathematical Sciences publications

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