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Noncommutative geometry
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==References== {{refbegin|2}} *{{Citation | last1=Connes | first1=Alain | author1-link=Alain Connes | title=Non-commutative geometry | url=https://archive.org/details/noncommutativege0000conn | publisher=[[Academic Press]] | location=Boston, MA | isbn=978-0-12-185860-5 | year=1994 | url-access=registration }} *{{Citation | last1=Connes | first1=Alain | author1-link=Alain Connes | last2=Marcolli | first2=Matilde | author2-link=Matilde Marcolli | title=An invitation to noncommutative geometry | arxiv=math/0601054 | publisher=World Sci. Publ., Hackensack, NJ | mr=2408150 | year=2008 | chapter=A walk in the noncommutative garden | pages=1–128|bibcode = 2006math......1054C }} *{{Citation | last1=Connes | first1=Alain | author1-link=Alain Connes | last2=Marcolli | first2=Matilde | author2-link=Matilde Marcolli | title=Noncommutative geometry, quantum fields and motives | url=http://www.alainconnes.org/docs/bookwebfinal.pdf | publisher=[[American Mathematical Society]] | location=Providence, R.I. | series=American Mathematical Society Colloquium Publications | isbn=978-0-8218-4210-2 | mr=2371808 | year=2008 | volume=55}} *{{Citation | last1=Gracia-Bondia | first1=Jose M | last2=Figueroa | first2=Hector | last3=Varilly | first3=Joseph C | title=Elements of Non-commutative geometry | publisher=Birkhauser | isbn=978-0-8176-4124-5 | year=2000}} *{{cite book |editor-last1=Khalkhali|editor-first1=Masoud|editor-last2=Marcolli|editor-first2=Matilde|date=2008|title=An Invitation to non-Commutative Geometry|url= https://www.worldscientific.com/worldscibooks/10.1142/6422|publisher= World Scientific|doi=10.1142/6422|isbn= 978-981-270-616-4|last1=Khalkhali|first1=Masoud|last2=Marcolli|first2=Matilde}} *{{Citation | last1=Landi | first1=Giovanni | title=An introduction to noncommutative spaces and their geometries | arxiv=hep-th/9701078 | publisher=[[Springer-Verlag]] | location=Berlin, New York | series=Lecture Notes in Physics. New Series m: Monographs | isbn=978-3-540-63509-3 | mr=1482228 | year=1997 | volume=51| pages= |bibcode = 1997hep.th....1078L }} *{{Citation | first1=Fred | last1=Van Oystaeyen | first2=Alain | last2=Verschoren | title=Non-commutative algebraic geometry | publisher=[[Springer-Verlag]] | series=Lecture Notes in Mathematics | volume=887 | year=1981 | isbn=978-3-540-11153-5}} {{refend}} ===References for Connes connection=== {{refbegin|2}} * {{cite journal |last1=Connes |first1=Alain |url= https://gallica.bnf.fr/ark:/12148/bpt6k5492289h/f43.item|title=C* algèbres et géométrie différentielle |year=1980 |journal=C. R. Acad. Sci. Paris Sér. A|volume=290|issue=13|pages=599–604|lang=fr}} ** {{cite arXiv |year=2001 |last1=Connes |first1=Alain |title=C* algebras and differential geometry |eprint=hep-th/0101093 }} * {{cite journal |last1=Connes |first1=Alain |title=Non-commutative differential geometry |journal=[[Publications Mathématiques de l'IHÉS]] |date=1985 |volume=62 |pages=41–144 |doi=10.1007/BF02698807 |s2cid=122740195 |url=http://www.numdam.org/item/?id=PMIHES_1985__62__41_0 |language=en |issn=1618-1913}} * {{cite book |isbn=978-0-08-057175-1|title=Noncommutative Geometry |last1=Connes |first1=Alain |year=1995|publisher=Academic Press}} * {{cite journal |last1=Cuntz |first1=Joachim |last2=Quillen |first2=Daniel |title=Algebra Extensions and Nonsingularity |journal=[[Journal of the American Mathematical Society]] |date=1995 |volume=8 |issue=2 |pages=251–289 |doi=10.2307/2152819 |jstor=2152819 |issn=0894-0347|doi-access=free }} *{{cite journal |doi=10.3842/SIGMA.2012.006|title=On Lie Algebroids and Poisson Algebras |year=2012 |last1=García-Beltrán |first1=Dennise |last2=a-Beltrán |first2=Dennise |last3=Vallejo |first3=José A. |last4=Vorobjev |first4=Yuriĭ |journal=Symmetry, Integrability and Geometry: Methods and Applications |volume=8 |page=006 |arxiv=1106.1512 |bibcode=2012SIGMA...8..006G |s2cid=5946411 }} * * {{cite web |title=notes on quasi-free algebras |last=Vale |first=R. |date=2009 |url=https://pi.math.cornell.edu/~rvale/ada.pdf}} *{{cite book |doi=10.1017/9781108855846.009|chapter=Connections |title=Topics in Cyclic Theory |year=2020 |pages=201–228 |isbn=9781108855846 }} {{ref end}}
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