References
Atiyah, M., Patodi, V., Singer, I.: Spectral asymmetry and Riemannian geometry. I. Math. Proc. Camb. Philos. Soc.77, 43–69 (1975)
Atiyah, M., Patodi, V., Singer, I.: Spectral asymmetry and Riemannian geometry. II. Math. Proc. Camb. Philos. Soc.78, 405–432 (1975)
Atiyah, M., patodi, V., Singer, I.: Spectral asymmetry and Riemannian geometry. III. Math. Proc. Camb. Philos. Soc.79, 71–99 (1976)
Berline N., Getzler, E., Vergne, M.: Heat kernels and Dirac operators. (Grundlehren Math. Wiss., 298) 1991 Berlin Heidelberg New York: Springer
Cappell, S., Lee, R., Miller, E.: (Preprint)
Gilkey, P.: Invariance theory, the heat equation, and the Atiyah-Singer index theorem. (Math. Lect. Ser. vol. 11) Wilmington: Publish or Perish 1984
Gunning, R.: Introduction to holomorphic functions of several variables, vol. I. Belmont: Wadsworth & Brooks/Cole 1990
Goldman, W., Millson, J.: The deformation theory of representations of fundamental groups of compact Kahler manifolds. Publ. Math., Inst. Hautes Étud. Sci.67, 43–96 (1988)
Goldman, W., Millson, J.: The homotopy invariance of the Kuranishi space. III. J. Math.34 (no. 2) 337–367 (1990)
Hille, E.: Functional analysis and semi-groups. (Colloq. Publ., Am. Math. Soc., vol. XXXI) Providence, RI: Am. Math. Soc. 1948
Kato, T.: Perturbation theory for linear operators, second edition. (Grundlehren Math. Wiss., 132) 1976 Berlin Heidelberg New York: Springer
Kirk, P., Klassen, E.: Computing spectral flow via cup products. (to appear in J. Differ. Geom.)
Kirk, P., Klassen, E.: The spectral flow of the odd signature operator on a manifold with boundary (preprint 1993)
Lefschetz, S.: Differential equations: Geometric theory, second edition. New York: Interscience
Levine, J.: Link invariants via eta invariants. (Preprint 1992)
Ramadas, T.R., Singer, I., Weitsman, J.: Some comments on Chern-Simons Gauge theory. Commun. Math. Phys.126, 409–420 (1989)
Yoshida, T.: Floer homology and splittings of manifolds. Ann. Math.134, 277–324 (1991)
Zorn, M.: Derivatives and Fréchet differentials. Bull. Am. Math. Soc.52, 133–137 (1946)
Author information
Authors and Affiliations
Additional information
Supported by the National Science Foundation
Rights and permissions
About this article
Cite this article
Fine, B., Kirk, P. & Klassen, E. A local analytic splitting of the holonomy map on flat connections. Math. Ann. 299, 171–189 (1994). https://doi.org/10.1007/BF01459778
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01459778