메뉴 건너뛰기




Volumn 5, Issue , 2001, Pages 287-318

BPS states of curves in Calabi-Yau 3-folds

Author keywords

BPS states; Calabi Yau 3 folds; Gromov Witten invariants

Indexed keywords


EID: 0001664092     PISSN: 14653060     EISSN: None     Source Type: Journal    
DOI: 10.2140/gt.2001.5.287     Document Type: Article
Times cited : (49)

References (19)
  • 4
    • 4243129905 scopus 로고    scopus 로고
    • Multiple covers and the integrality conjecture for rational curves in Calabi-Yau threefolds
    • preprint, arxiv:math.AG/9911056, to appear
    • Jim Bryan, Sheldon Katz, Naichung Conan Leung, Multiple covers and the integrality conjecture for rational curves in Calabi-Yau threefolds, preprint, arxiv:math.AG/9911056, to appear in Jour. of Alg. Geom.
    • Jour. of Alg. Geom.
    • Bryan, J.1    Katz, S.2    Leung, N.C.3
  • 5
    • 0034415627 scopus 로고    scopus 로고
    • The enumerative geometry of K3 surfaces and modular forms
    • Jim Bryan, Naichung Conan Leung, The enumerative geometry of K3 surfaces and modular forms, J. Amer. Math. Soc. 13 (2000) 371-410
    • (2000) J. Amer. Math. Soc. , vol.13 , pp. 371-410
    • Bryan, J.1    Leung, N.C.2
  • 6
    • 0034364921 scopus 로고    scopus 로고
    • Hodge integrals and Gromov-Witten theory
    • C Faber, R Pandharipande, Hodge integrals and Gromov-Witten theory, Invent. Math. 139 (2000) 173-199
    • (2000) Invent. Math. , vol.139 , pp. 173-199
    • Faber, C.1    Pandharipande, R.2
  • 9
    • 0003498504 scopus 로고    scopus 로고
    • Academic Press Inc. San Diego, CA, fifth edition, CD-ROM version 1.0 for PC, MAC, and UNIX computers
    • I S Gradshteyn, I M Ryzhik, Table of integrals, series, and products, Academic Press Inc. San Diego, CA, fifth edition, (1996) CD-ROM version 1.0 for PC, MAC, and UNIX computers
    • (1996) Table of Integrals, Series, and Products
    • Gradshteyn, I.S.1    Ryzhik, I.M.2
  • 10
    • 0000787478 scopus 로고
    • Slopes of effective divisors on the moduli space of stable curves
    • J Harris, I Morrison, Slopes of effective divisors on the moduli space of stable curves, Invent. Math. 99 (1990) 321-355
    • (1990) Invent. Math. , vol.99 , pp. 321-355
    • Harris, J.1    Morrison, I.2
  • 12
    • 0011284939 scopus 로고    scopus 로고
    • Holomorphic anomaly equation and BPS state counting of rational elliptic surface
    • S Hosono, M-H Saito, A Takahashi, Holomorphic anomaly equation and BPS state counting of rational elliptic surface, Adv. Theor.Math. Phys. 3 (1999) 177-208
    • (1999) Adv. Theor.Math. Phys. , vol.3 , pp. 177-208
    • Hosono, S.1    Saito, M.-H.2    Takahashi, A.3
  • 15
    • 0000180610 scopus 로고
    • Towards an enumerative geometry of the moduli space of curves
    • Birkhäuser, Boston, Mass.
    • David Mumford, Towards an enumerative geometry of the moduli space of curves, from: "Arithmetic and geometry, Vol. II", Birkhäuser, Boston, Mass. (1983) 271-328
    • (1983) Arithmetic and Geometry , vol.2 , pp. 271-328
    • Mumford, D.1
  • 16
    • 0033235136 scopus 로고    scopus 로고
    • Hodge integrals and degenerate contributions
    • R Pandharipande, Hodge integrals and degenerate contributions Comm. Math. Phys. 208 (1999) 489-506
    • (1999) Comm. Math. Phys. , vol.208 , pp. 489-506
    • Pandharipande, R.1
  • 18
    • 0004259926 scopus 로고    scopus 로고
    • AK Peters Ltd, Wellesley, MA foreword by Donald E Knuth, with a separately available computer disk
    • Marko Petkovsek, Herbert S. Wilf, Doron Zeilberger, A = B, AK Peters Ltd, Wellesley, MA (1996) foreword by Donald E Knuth, with a separately available computer disk
    • (1996) A = B
    • Petkovšek, M.1    Wilf, H.S.2    Zeilberger, D.3
  • 19
    • 0003957510 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge: an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions, reprint of the fourth (1927) edition
    • E T. Whittaker, G N. Watson, A course of modern analysis, Cambridge University Press, Cambridge (1996): an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions, reprint of the fourth (1927) edition
    • (1996) A Course of Modern Analysis
    • Whittaker, E.T.1    Watson, G.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.