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Volumn 236, Issue 1, 2003, Pages 135-159

Categories of holomorphic vector bundles on noncommutative two-tori

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EID: 0038468689     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-003-0813-9     Document Type: Article
Times cited : (75)

References (19)
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    • (1980) C. R. Acad. Sci. Paris, Sér. A-B , vol.290
    • Connes, A.1
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    • 84972502909 scopus 로고
    • A new proof of a theorem of Narasimhan and Seshadri
    • Donaldson, S.K.: A new proof of a theorem of Narasimhan and Seshadri. J. Differential Geom. 18, 269-277 (1983)
    • (1983) J. Differential Geom. , vol.18 , pp. 269-277
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    • 0030100229 scopus 로고    scopus 로고
    • Tilting in Abelian categories and quasitilted algebras
    • Happel, D., Reiten, I., Smalo, S.O.: Tilting in abelian categories and quasitilted algebras. Memoirs AMS 575, (1996)
    • (1996) Memoirs AMS , vol.575
    • Happel, D.1    Reiten, I.2    Smalo, S.O.3
  • 10
    • 84972539524 scopus 로고
    • Duality between D(X) and D(X̂) with its application to Picard sheaves
    • Mukai, S.: Duality between D(X) and D(X̂) with its application to Picard sheaves. Nagoya Math. J. 81, 153-175(1981)
    • (1981) Nagoya Math. J. , vol.81 , pp. 153-175
    • Mukai, S.1
  • 11
    • 0001690431 scopus 로고
    • Stable and unitary vector bundles on a compact Riemann surface
    • Narasimhan, M.S., Seshadri, C.S.: Stable and unitary vector bundles on a compact Riemann surface. Annals of Math. 82, 540-567 (1965)
    • (1965) Annals of Math. , vol.82 , pp. 540-567
    • Narasimhan, M.S.1    Seshadri, C.S.2
  • 12
    • 0030300392 scopus 로고    scopus 로고
    • Symplectic biextensions and a generalization of the Fourier-Mukai transform
    • Polishchuk, A.: Symplectic biextensions and a generalization of the Fourier-Mukai transform. Math. Research Letters 3, 813-828 (1996)
    • (1996) Math. Research Letters , vol.3 , pp. 813-828
    • Polishchuk, A.1
  • 14
    • 84959829172 scopus 로고
    • The cancellation theorem for projective modules over irrational rotation ℂ*-algebras (3)
    • Rieffel, M.A.: The cancellation theorem for projective modules over irrational rotation ℂ*-algebras. Proc. London Math. Soc. (3) 47, 285-302 (1983)
    • (1983) Proc. London Math. Soc. , vol.47 , pp. 285-302
    • Rieffel, M.A.1
  • 15
    • 84972506617 scopus 로고
    • Critical points of Yang-Mills for noncommutative two-tori
    • Rieffel, M.A.: Critical points of Yang-Mills for noncommutative two-tori. J. Differ. Geom. 31, 535-546 (1990)
    • (1990) J. Differ. Geom. , vol.31 , pp. 535-546
    • Rieffel, M.A.1
  • 16
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    • Theta functions on noncommutative tori
    • Schwarz, A.: Theta functions on noncommutative tori. Lett. Math. Phys. 58, 81-90 (2001)
    • (2001) Lett. Math. Phys. , vol.58 , pp. 81-90
    • Schwarz, A.1
  • 17
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    • Quantum Tori, mirror symmetry, and deformation quantization
    • Soibelman, Y.: Quantum Tori, Mirror symmetry, and Deformation quantization. Lett. Math. Phys. 56, 99-125 (2001)
    • (2001) Lett. Math. Phys. , vol.56 , pp. 99-125
    • Soibelman, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.