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Volumn 49, Issue 3-4, 2004, Pages 366-375

On the Quillen determinant

Author keywords

Fredholm determinant; Fredholm Lagrangian Grassmannian; Fredholm operator; H rmander index; K group; Maslov line bundle; Quillen determinant

Indexed keywords


EID: 0742289187     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.geomphys.2003.07.001     Document Type: Article
Times cited : (6)

References (13)
  • 1
    • 0742266199 scopus 로고
    • Benjamin, New York
    • M.F. Atiyah, K-thoery, Benjamin, New York, 1967.
    • (1967) K-thoery
    • Atiyah, M.F.1
  • 2
    • 0004287440 scopus 로고
    • The geometry and physics of knots
    • Cambridge University Press, Cambridge
    • M.F. Atiyah, The geometry and physics of knots, Lezioni Lincee, Cambridge University Press, Cambridge, 1990.
    • (1990) Lezioni Lincee
    • Atiyah, M.F.1
  • 4
    • 0742318392 scopus 로고    scopus 로고
    • Maslov index in the infinite dimension and a splitting formula for a spectral flow
    • Furutani K. Otsuki N. Maslov index in the infinite dimension and a splitting formula for a spectral flow Jpn. J. Math. 282 2002 215-243
    • (2002) Jpn. J. Math. , vol.28 , Issue.2 , pp. 215-243
    • Furutani, K.1    Otsuki, N.2
  • 6
    • 0002820858 scopus 로고
    • Fourier integral operators I
    • Hörmander L. Fourier integral operators I Acta Math. 1271-2 1971 79-183
    • (1971) Acta Math. , vol.127 , Issue.1-2 , pp. 79-183
    • Hörmander, L.1
  • 8
    • 0003921433 scopus 로고
    • Analyse Lagrangiénne et mécanique quantique: Une structure mathématique apparentée aux développements asymptotiques et à l'indice de Maslov
    • I.R.M.P., Strasbourg (English translation 1981, MIT Press)
    • J. Leray, Analyse Lagrangiénne et mécanique quantique: Une structure mathématique apparentée aux développements asymptotiques et à l'indice de Maslov, Série Math. Pure Appl., I.R.M.P., Strasbourg, 1978 (English translation 1981, MIT Press).
    • (1978) Série Math. Pure Appl.
    • Leray, J.1
  • 10
    • 0040914456 scopus 로고
    • Determinants of Cauchy-Riemann operators as τ-functions
    • Palmar J. Determinants of Cauchy-Riemann operators as τ-functions Acta Appl. Math. 183 1990 199-223
    • (1990) Acta Appl. Math. , vol.18 , Issue.3 , pp. 199-223
    • Palmar, J.1
  • 11
    • 0002216062 scopus 로고
    • Determinants of Cauchy-Riemann operators on Riemann surfaces
    • Quillen D. Determinants of Cauchy-Riemann operators on Riemann surfaces Funct. Anal. Appl. 191 1985 37-41
    • (1985) Funct. Anal. Appl. , vol.19 , Issue.1 , pp. 37-41
    • Quillen, D.1
  • 13
    • 85105637957 scopus 로고    scopus 로고
    • The ζ-determinant and Quillen determinant for a Dirac operator on a manifold with boundary
    • Scott S. Wojciechowski K. The ζ-determinant and Quillen determinant for a Dirac operator on a manifold with boundary Geom. Funct. Anal. 105 2000 1202-1236
    • (2000) Geom. Funct. Anal. , vol.10 , Issue.5 , pp. 1202-1236
    • Scott, S.1    Wojciechowski, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.