메뉴 건너뛰기




Volumn 320, Issue 8, 2008, Pages 3232-3268

The A∞ deformation theory of a point and the derived categories of local Calabi-Yaus

Author keywords

A infinity algebra; Derived categories; Superpotentials

Indexed keywords


EID: 51249096760     PISSN: 00218693     EISSN: 1090266X     Source Type: Journal    
DOI: 10.1016/j.jalgebra.2008.06.019     Document Type: Article
Times cited : (66)

References (32)
  • 1
    • 33846147043 scopus 로고    scopus 로고
    • Superpotentials for quiver gauge theories
    • 25 pp. (electronic). MR MR2266656 (2007g:81091)
    • Aspinwall P.S., and Fidkowski L.M. Superpotentials for quiver gauge theories. J. High Energy Phys. 10 (2006) 047 25 pp. (electronic). MR MR2266656 (2007g:81091)
    • (2006) J. High Energy Phys. , Issue.10 , pp. 047
    • Aspinwall, P.S.1    Fidkowski, L.M.2
  • 2
    • 33645564281 scopus 로고    scopus 로고
    • Computation of superpotentials for D-branes
    • MR MR2212222 (2007b:81178)
    • Aspinwall P.S., and Katz S. Computation of superpotentials for D-branes. Comm. Math. Phys. 264 1 (2006) 227-253 MR MR2212222 (2007b:81178)
    • (2006) Comm. Math. Phys. , vol.264 , Issue.1 , pp. 227-253
    • Aspinwall, P.S.1    Katz, S.2
  • 4
    • 0031475399 scopus 로고    scopus 로고
    • The intrinsic normal cone
    • MR MR1437495 (98e:14022)
    • Behrend K., and Fantechi B. The intrinsic normal cone. Invent. Math. 128 1 (1997) 45-88 MR MR1437495 (98e:14022)
    • (1997) Invent. Math. , vol.128 , Issue.1 , pp. 45-88
    • Behrend, K.1    Fantechi, B.2
  • 5
    • 34250282861 scopus 로고
    • n and problems in linear algebra
    • MR MR509388 (80c:14010b)
    • n and problems in linear algebra. Funktsional. Anal. i Prilozhen. 12 3 (1978) 68-69 MR MR509388 (80c:14010b)
    • (1978) Funktsional. Anal. i Prilozhen. , vol.12 , Issue.3 , pp. 68-69
    • Beǐlinson, A.A.1
  • 6
    • 33645665472 scopus 로고    scopus 로고
    • Moduli spaces for D-branes at the tip of a cone
    • 9 pp. (electronic). MR MR2222961
    • Bergman A., and Proudfoot N. Moduli spaces for D-branes at the tip of a cone. J. High Energy Phys. 3 (2006) 073 9 pp. (electronic). MR MR2222961
    • (2006) J. High Energy Phys. , Issue.3 , pp. 073
    • Bergman, A.1    Proudfoot, N.2
  • 8
    • 19544378815 scopus 로고    scopus 로고
    • T-structures on some local Calabi-Yau varieties
    • MR MR2142382 (2006a:14067)
    • Bridgeland T. T-structures on some local Calabi-Yau varieties. J. Algebra 289 2 (2005) 453-483 MR MR2142382 (2006a:14067)
    • (2005) J. Algebra , vol.289 , Issue.2 , pp. 453-483
    • Bridgeland, T.1
  • 10
    • 0035632205 scopus 로고    scopus 로고
    • The McKay correspondence as an equivalence of derived categories
    • (electronic). MR MR1824990 (2002f:14023)
    • Bridgeland T., King A., and Reid M. The McKay correspondence as an equivalence of derived categories. J. Amer. Math. Soc. 14 3 (2001) 535-554 (electronic). MR MR1824990 (2002f:14023)
    • (2001) J. Amer. Math. Soc. , vol.14 , Issue.3 , pp. 535-554
    • Bridgeland, T.1    King, A.2    Reid, M.3
  • 17
    • 0031565518 scopus 로고    scopus 로고
    • Type IIB superstrings, BPS monopoles, and three-dimensional gauge dynamics
    • MR MR1451054 (98h:81096)
    • Hanany A., and Witten E. Type IIB superstrings, BPS monopoles, and three-dimensional gauge dynamics. Nuclear Phys. B 492 1-2 (1997) 152-190 MR MR1451054 (98h:81096)
    • (1997) Nuclear Phys. B , vol.492 , Issue.1-2 , pp. 152-190
    • Hanany, A.1    Witten, E.2
  • 19
    • 79951821692 scopus 로고    scopus 로고
    • A-infinity algebras in representation theory
    • Beijing Norm. Univ. Press, Beijing MR MR2067371 (2005b:16021)
    • Keller B. A-infinity algebras in representation theory. Representations of Algebra, vols. I, II (2002), Beijing Norm. Univ. Press, Beijing 74-86 MR MR2067371 (2005b:16021)
    • (2002) Representations of Algebra, vols. I, II , pp. 74-86
    • Keller, B.1
  • 20
    • 0000409101 scopus 로고
    • Moduli of representations of finite-dimensional algebras
    • MR MR1315461 (96a:16009)
    • King A.D. Moduli of representations of finite-dimensional algebras. Quart. J. Math. Oxford Ser. (2) 45 180 (1994) 515-530 MR MR1315461 (96a:16009)
    • (1994) Quart. J. Math. Oxford Ser. (2) , vol.45 , Issue.180 , pp. 515-530
    • King, A.D.1
  • 21
    • 3843152796 scopus 로고    scopus 로고
    • Deformation quantization of Poisson manifolds
    • MR MR2062626 (2005i:53122)
    • Kontsevich M. Deformation quantization of Poisson manifolds. Lett. Math. Phys. 66 3 (2003) 157-216 MR MR2062626 (2005i:53122)
    • (2003) Lett. Math. Phys. , vol.66 , Issue.3 , pp. 157-216
    • Kontsevich, M.1
  • 23
    • 80053094665 scopus 로고
    • Exceptional sheaves on Del Pezzo surfaces
    • MR MR1286839 (95g:14048)
    • Kuleshov S.A., and Orlov D.O. Exceptional sheaves on Del Pezzo surfaces. Izv. Ross. Akad. Nauk Ser. Mat. 58 3 (1994) 53-87 MR MR1286839 (95g:14048)
    • (1994) Izv. Ross. Akad. Nauk Ser. Mat. , vol.58 , Issue.3 , pp. 53-87
    • Kuleshov, S.A.1    Orlov, D.O.2
  • 24
    • 84957160902 scopus 로고
    • Exceptional collections on ruled surfaces
    • Helices and Vector Bundles, Cambridge Univ. Press, Cambridge MR MR1074785 (91m:14068)
    • Kvichansky A.B., and Nogin D.Yu. Exceptional collections on ruled surfaces. Helices and Vector Bundles. London Math. Soc. Lecture Note Ser. vol. 148 (1990), Cambridge Univ. Press, Cambridge 97-103 MR MR1074785 (91m:14068)
    • (1990) London Math. Soc. Lecture Note Ser. , vol.148 , pp. 97-103
    • Kvichansky, A.B.1    Nogin, D.Yu.2
  • 25
    • 0141989498 scopus 로고    scopus 로고
    • Noncommutative deformations of modules
    • The Roos Festschrift Volume, 2 (electronic). MR MR1918517 (2003e:16005)
    • Laudal O.A. Noncommutative deformations of modules. The Roos Festschrift Volume, 2. Homology, Homotopy Appl. 4 2, part 2 (2002) 357-396 (electronic). MR MR1918517 (2003e:16005)
    • (2002) Homology, Homotopy Appl. , vol.4 , Issue.2 PART 2 , pp. 357-396
    • Laudal, O.A.1
  • 26
    • 33744740390 scopus 로고    scopus 로고
    • String field theory and brane superpotentials
    • Paper 18, 40. MR MR1877563 (2003h:81179)
    • Lazaroiu C.I. String field theory and brane superpotentials. J. High Energy Phys. 10 (2001) Paper 18, 40. MR MR1877563 (2003h:81179)
    • (2001) J. High Energy Phys. , Issue.10
    • Lazaroiu, C.I.1
  • 27
    • 51249085025 scopus 로고    scopus 로고
    • ∞-catégories, PhD thesis, 2003
    • ∞-catégories, PhD thesis, 2003
  • 29
    • 0347172101 scopus 로고    scopus 로고
    • Strong homotopy algebras of a Kähler manifold
    • MR MR1672242 (2000h:32026)
    • Merkulov S.A. Strong homotopy algebras of a Kähler manifold. Int. Math. Res. Not. 3 (1999) 153-164 MR MR1672242 (2000h:32026)
    • (1999) Int. Math. Res. Not. , Issue.3 , pp. 153-164
    • Merkulov, S.A.1
  • 31
    • 0010666849 scopus 로고    scopus 로고
    • A holomorphic Casson invariant for Calabi-Yau 3-folds, and bundles on K3 fibrations
    • MR MR1818182 (2002b:14049)
    • Thomas R.P. A holomorphic Casson invariant for Calabi-Yau 3-folds, and bundles on K3 fibrations. J. Differential Geom. 54 2 (2000) 367-438 MR MR1818182 (2002b:14049)
    • (2000) J. Differential Geom. , vol.54 , Issue.2 , pp. 367-438
    • Thomas, R.P.1
  • 32
    • 33846448588 scopus 로고    scopus 로고
    • Non-commutative crepant resolutions
    • Springer, Berlin MR MR2077594 (2005e:14002)
    • van den Bergh M. Non-commutative crepant resolutions. The Legacy of Niels Henrik Abel (2004), Springer, Berlin 749-770 MR MR2077594 (2005e:14002)
    • (2004) The Legacy of Niels Henrik Abel , pp. 749-770
    • van den Bergh, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.