SCOPUS 정보 검색 플랫폼 - 논문 보기

메뉴 건너뛰기

Mathematische Zeitschrift

Volumn 240, Issue 3, 2002, Pages 651-664

The spinc Dirac operator on high tensor powers of a line bundle

(2) Ma, Xiaonan a,b Marinescu, George a

a HUMBOLDT UNIVERSITY (Germany)

b ECOLE POLYTECHNIQUE (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036022782 PISSN: 00255874 EISSN: None Source Type: Journal
DOI: 10.1007/s002090100393 Document Type: Article

Times cited : (78)

References (21)

1
- 0002951048
- Elliptic operators, discrete groups and von Neumann algebras
- M. F. Atiyah, Elliptic operators, discrete groups and von Neumann algebras. Astérisque 32-33 (1976), 43-72
- (1976) Astérisque , vol.32-33 , pp. 43-72
- Atiyah, M.F.¹

2
- 0001579635
- The index of elliptic operators III
- M. F. Atiyah, I. M. Singer, The index of elliptic operators III. Ann. Math. 87 (1968), 546-604
- (1968) Ann. Math. , vol.87 , pp. 546-604
- Atiyah, M.F.¹ Singer, I.M.²

3
- 0003782827
- Springer
- N. Berline, E. Getzler, M. Vergne, Heat kernels and Dirac operators. Springer, 1992
- (1992) Heat Kernels and Dirac Operators
- Berline, N.¹ Getzler, E.² Vergne, M.³

4
- 0000523602
- The asymptotics of the Ray-Singer analytic torsion associated with high powers of a positive line bundle
- J.-M. Bismut, E. Vasserot, The asymptotics of the Ray-Singer analytic torsion associated with high powers of a positive line bundle. Commun. Math. Phys. 125 (1989), 355-367
- (1989) Commun. Math. Phys. , vol.125 , pp. 355-367
- Bismut, J.-M.¹ Vasserot, E.²

5
- 0013306169
- The asymptotics of the Ray-Singer analytic torsion of the symmetric powers of a positive vector bundle
- J.-M. Bismut, E. Vasserot, The asymptotics of the Ray-Singer analytic torsion of the symmetric powers of a positive vector bundle. Ann. Inst. Fourier 40(4) (1990), 835-848
- (1990) Ann. Inst. Fourier , vol.40 , Issue.4 , pp. 835-848
- Bismut, J.-M.¹ Vasserot, E.²

6
- 0030300395
- Almost complex structures and geometric quantization
- D. Borthwick, A. Uribe, Almost complex structures and geometric quantization. Math. Res. Lett. 3 (1996), 845-861
- (1996) Math. Res. Lett. , vol.3 , pp. 845-861
- Borthwick, D.¹ Uribe, A.²

7
- 22044432130
- Erratum to: "Almost complex structures and geometric quantization"
- D. Borthwick, A. Uribe, Erratum to: "Almost complex structures and geometric quantization". Math. Res. Lett. 5 (1998), 211-212
- (1998) Math. Res. Lett. , vol.5 , pp. 211-212
- Borthwick, D.¹ Uribe, A.²

8
- 0013198494
- Nearly kählerian embeddings of symplectic manifolds
- D. Borthwick, A. Uribe, Nearly Kählerian Embeddings of Symplectic Manifolds. Asian J. Math. 4(3) (2000), 599-620
- (2000) Asian J. Math. , vol.4 , Issue.3 , pp. 599-620
- Borthwick, D.¹ Uribe, A.²

9
- 0013248807
- Preprint, arXiv:math. SP/0103062
- D. Borthwick, A. Uribe, The spectral density function for the Laplacian on high tensor powers of a line bundle. Preprint, arXiv:math. SP/0103062
- The Spectral Density Function for the Laplacian on High Tensor Powers of a Line Bundle
- Borthwick, D.¹ Uribe, A.²

10
- 0003340015
- The spectral theory of Toeplitz operators
- Princeton University Press, Princeton, New Jersey
- L. Boutet de Monvel, V. Guillemin, The spectral theory of Toeplitz operators. Annals of Mathematics Studies No. 99, Princeton University Press, Princeton, New Jersey 1981
- (1981) Annals of Mathematics Studies No. 99
- De Monvel, L.B.¹ Guillemin, V.²

11
- 0013248808
- Preprint, arXiv: math.DG/9805127
- M. Braverman, Vanishing theorems for the half-kernel of a Dirac operator. Preprint, arXiv: math.DG/9805127
- Vanishing Theorems for the Half-Kernel of a Dirac Operator
- Braverman, M.¹

12
- 0013199729
- Vanishing theorems on covering manifolds
- M. Braverrnan, Vanishing theorems on covering manifolds, Contemp. Math., 213 (1999), 1-23.
- (1999) Contemp. Math. , vol.213 , pp. 1-23
- Braverrnan, M.¹

13
- 84974744161
- The Laplace operator on the n-th tensor power of a line bundle: Eigenvalues which are bounded uniformly in n
- V. Guillemin, A.Uribe, The Laplace operator on the n-th tensor power of a line bundle: eigenvalues which are bounded uniformly in n. Asymptotic Anal. 1 (1988), 105-113
- (1988) Asymptotic Anal. , vol.1 , pp. 105-113
- Guillemin, V.¹ Uribe, A.²

14
- 0003668851
- Springer, Berlin
- L. Hörmander, The Analysis of Linear Partial Differential Operators III. Springer, Berlin 1983
- (1983) The Analysis of Linear Partial Differential Operators III
- Hörmander, L.¹

15
- 0003933802
- Princeton Univ. Press, Princeton, New Jersey
- H. B. Lawson, M.-L. Michelson, Spin geometry. Princeton Univ. Press, Princeton, New Jersey, 1989
- (1989) Spin Geometry
- Lawson, H.B.¹ Michelson, M.-L.²

16
- 0001211868
- c-Dirac operator
- c-Dirac operator. Adv. Math. 134 (1998), 240-277
- (1998) Adv. Math. , vol.134 , pp. 240-277
- Meinrenken, E.¹

17
- 0003354721
- Introduction to symplectic topology
- Oxford, Clarendon Press
- D. McDuff, D. Salamon, Introduction to symplectic topology. Oxford Mathematical Monographs, Oxford, Clarendon Press, 1995
- (1995) Oxford Mathematical Monographs
- McDuff, D.¹ Salamon, D.²

18
- 0003687441
- Academic Press, New York
- M. Reed, B. Simon, Methods of modern mathematical physics, vol. IV. Academic Press, New York, 1978
- (1978) Methods of Modern Mathematical Physics , vol.4
- Reed, M.¹ Simon, B.²

19
- 0000907886
- 2 Riemann-Roch theorem for elliptic operators
- 2 Riemann-Roch theorem for elliptic operators. GAFA 5(2) (1995), 482-527
- (1995) GAFA , vol.5 , Issue.2 , pp. 482-527
- Shubin, M.¹

20
- 0030304014
- Semiclassical asymptotics on covering manifolds and Morse inequalities
- M. Shubin, Semiclassical asymptotics on covering manifolds and Morse inequalities. GAFA 6(2) (1996), 370-409
- (1996) GAFA , vol.6 , Issue.2 , pp. 370-409
- Shubin, M.¹

21
- 0040427938
- An analytic proof of the geometric quantization conjecture of Guillemin-Sternberg
- Y. Tian and W. Zhang, An analytic proof of the geometric quantization conjecture of Guillemin-Sternberg. Invent. Math. 132 (1998), 229-259
- (1998) Invent. Math. , vol.132 , pp. 229-259
- Tian, Y.¹ Zhang, W.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.