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Electronic Research Announcements of the American Mathematical Society

Volumn 7, Issue 3, 2001, Pages 8-16

Relative zeta determinants and the geometry of the determinant line bundle

(1) Scott, Simon a

a KING'S COLLEGE LONDON (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85009820810 PISSN: None EISSN: 10796762 Source Type: Journal
DOI: 10.1090/S1079-6762-01-00089-0 Document Type: Article

Times cited : (1)

References (11)

1
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- The analysis of elliptic families: (I) Metrics and connections on determinant bundles
- MR 88h:58110a
- Bismut, J. M., and Freed, D., ‘The analysis of elliptic families: (I) Metrics and connections on determinant bundles', Commun. Math. Phys. 106 (1986), 159-176. MR 88h:58110a
- (1986) Commun. Math. Phys , vol.106 , pp. 159-176
- Bismut, J.M.¹ Freed, D.²

2
- 0001549598
- Functional determinants and geometry
- MR 89b:58212
- Forman, R., ‘Functional determinants and geometry', Invent. Math. 88 (1987), 447-493. MR 89b:58212
- (1987) Invent. Math , vol.88 , pp. 447-493
- Forman, R.¹

3
- 0002085730
- Trace expansions for pseudo differential boundary problems for Dirac-type operators and more general systems
- MR 2000c:35265
- Grubb, G., ‘Trace expansions for pseudo differential boundary problems for Dirac-type operators and more general systems', Ark. Mat. 37 (1999), 45-86. MR 2000c:35265
- (1999) Ark. Mat , vol.37 , pp. 45-86
- Grubb, G.¹

4
- 8744244427
- Zeta and eta functions for Atiyah-Patodi-Singer operators
- MR 97g:58174
- Grubb, G., and Seeley, R., ‘Zeta and eta functions for Atiyah-Patodi-Singer operators', J. Geom. Anal. 6 (1996), 31-77. MR 97g:58174
- (1996) J. Geom. Anal , vol.6 , pp. 31-77
- Grubb, G.¹ Seeley, R.²

5
- 0032071790
- On the determinant of one-dimensional elliptic boundary value problems
- MR 2000b:58060
- Lesch, M., and Tolksdorf, J., ‘On the determinant of one-dimensional elliptic boundary value problems', Comm. Math. Phys. 193 (1998), 643-660. MR 2000b:58060
- (1998) Comm. Math. Phys , vol.193 , pp. 643-660
- Lesch, M.¹ Tolksdorf, J.²

6
- 0003863511
- Oxford, Clarendon Press, MR 88i:22049
- Pressley, A. and Segal, G. B., Loop Groups, Oxford, Clarendon Press, 1986. MR 88i:22049
- (1986) Loop Groups
- Pressley, A.¹ Segal, G.B.²

7
- 11244319351
- Determinants of Cauchy-Riemann operators over a Riemann surface
- Quillen, D. G., ‘Determinants of Cauchy-Riemann operators over a Riemann surface', Funktsional. Anal. i Prilozhen. 19 (1985), no. 1, 37-41
- (1985) Funktsional. Anal. I Prilozhen , vol.19 , Issue.1 , pp. 37-41
- Quillen, D.G.¹

8
- 85009806000
- MR 86g:32035
- English transl., Functional Anal. Appl. 19 (1985), 31-34. MR 86g:32035
- (1985) English Transl., Functional Anal. Appl. , vol.19 , pp. 31-34

9
- 23044523537
- Splitting the curvature of the determinant line bundle
- MR 2000m:58055
- Scott, S. G., ‘Splitting the curvature of the determinant line bundle', Proc. Amer. Math. Soc. 128 (2000), 2763-2775. MR 2000m:58055
- (2000) Proc. Amer. Math. Soc , vol.128 , pp. 2763-2775
- Scott, S.G.¹

10
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- preparation
- Scott, S. G., In preparation.
- Scott, S.G.¹

11
- 85105637957
- The ζ-determinant and Quillen's determinant for a Dirac operator on a manifold with boundary
- CMP 2001:05
- Scott, S.G., and Wojciechowski, K.P., ‘The ζ-determinant and Quillen's determinant for a Dirac operator on a manifold with boundary', Geom. Funct. Anal. 10 (2000), 1202-1236. CMP 2001:05
- (2000) Geom. Funct. Anal , vol.10 , pp. 1202-1236
- Scott, S.G.¹ Wojciechowski, K.P.²

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