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Volumn 184, Issue 3, 1997, Pages 619-628

Eigenvalue inequalities and Poincaré duality in noncommutative geometry

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EID: 0031492814     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050076     Document Type: Article
Times cited : (12)

References (15)
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  • 2
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    • The index of elliptic operators III
    • Atiyah, M.F., and Singer, I.M.: The index of elliptic operators III, Ann. of Math. 87, 546-604 (1968)
    • (1968) Ann. of Math. , vol.87 , pp. 546-604
    • Atiyah, M.F.1    Singer, I.M.2
  • 6
    • 21844496057 scopus 로고
    • Noncommutative geometry and reality
    • Connes, A.: Noncommutative geometry and reality, J. Math. Phys. 36, no 11 (1995)
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  • 7
    • 0030359659 scopus 로고    scopus 로고
    • Gravity coupled with matter and the foundation of noncommutative geometry
    • Connes, A.: Gravity coupled with matter and the foundation of noncommutative geometry. Commun. Math. Phys. 182, 155-176 (1996)
    • (1996) Commun. Math. Phys. , vol.182 , pp. 155-176
    • Connes, A.1
  • 8
    • 0009106614 scopus 로고
    • Fonctorialité en K-théorie bivariante pour les variétés Lipschitziennes
    • Hilsum, H.: Fonctorialité en K-théorie bivariante pour les variétés Lipschitziennes. K-theory, 3, 401-440 (1989)
    • (1989) K-theory , vol.3 , pp. 401-440
    • Hilsum, H.1
  • 9
    • 0001954387 scopus 로고
    • Operator K-theory for SU(n, 1)
    • Julg, P. and Kasparov, G.: Operator K-theory for SU(n, 1). J. Reine Angew. Math. 463, 99-152 (1995)
    • (1995) J. Reine Angew. Math. , vol.463 , pp. 99-152
    • Julg, P.1    Kasparov, G.2
  • 10
    • 0001241676 scopus 로고
    • The operator K-functor and extensions of C*-algebras
    • Kasparov, G.G.: The operator K-functor and extensions of C*-algebras. Math. U.S.S.R. Izv. 16 no 3, 513-572 (1981). Translated from Izv. Akad. Nauk. S.S.S.R. Ser. Mat. 44, 571-636 (1980)
    • (1981) Math. U.S.S.R. Izv. , vol.16 , Issue.3 , pp. 513-572
    • Kasparov, G.G.1
  • 11
    • 0001241676 scopus 로고
    • Translated from
    • Kasparov, G.G.: The operator K-functor and extensions of C*-algebras. Math. U.S.S.R. Izv. 16 no 3, 513-572 (1981). Translated from Izv. Akad. Nauk. S.S.S.R. Ser. Mat. 44, 571-636 (1980)
    • (1980) Izv. Akad. Nauk. S.S.S.R. Ser. Mat. , vol.44 , pp. 571-636
  • 12
    • 0001508374 scopus 로고
    • Lorentz groups: K-theory of unitary representations and crossed products
    • Kasparov, G.G., Lorentz groups: K-theory of unitary representations and crossed products. Dokl. Akad. Nauk. S.S.S.R. 275, 541-545 (1984)
    • (1984) Dokl. Akad. Nauk. S.S.S.R. , vol.275 , pp. 541-545
    • Kasparov, G.G.1
  • 13
    • 0007157334 scopus 로고
    • The index theorem for topological manifolds
    • Teleman, N.: The index theorem for topological manifolds. Acta Math. 153, 117-152 (1984)
    • (1984) Acta Math. , vol.153 , pp. 117-152
    • Teleman, N.1
  • 14
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    • Eigenvalue inequalities for fermions in gauge theories
    • Vafa, V. and Witten, E.: Eigenvalue inequalities for fermions in gauge theories. Commun. Math. Phys. 95, 257-276 (1984)
    • (1984) Commun. Math. Phys. , vol.95 , pp. 257-276
    • Vafa, V.1    Witten, E.2
  • 15
    • 84972500802 scopus 로고
    • Supersymmetry and Morse theory
    • Witten, E.: Supersymmetry and Morse theory. J. Differential Geom. 17, 661-692 (1982)
    • (1982) J. Differential Geom. , vol.17 , pp. 661-692
    • Witten, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.