ArticleOriginal scientific text

Title

Variation structures: results and open problems

Authors 1

Affiliations

  1. Institute of the Romanian Academy, Bucharest, and, The Ohio State University, 231 West 18th Avenue, Columbus, Ohio 43210, U.S.A.

Bibliography

  1. V. I. Arnold, S. M. Gusein-Zade and A. N. Varchenko, Singularities of Differentiable Mappings, Vol. 2, Birkhäuser, Boston, 1988.
  2. M. Demazure, Classification des germes à point critique isolé et à nombre de modules 0 ou 1 (d'après Arnold), Sém. Bourbaki 26e année, 1973/74, 443, (1974).
  3. M. F. Atiyah, V. K. Patodi and I. M. Singer, Spectral asymmetry and Riemannian geometry. I-III, Math. Proc. Cambridge Philos. Soc. 77 (1975), 53-69; 78 (1975), 405-432; 79 (1976), 71-99.
  4. A. Durfee and L. Kaufman, Periodicity of branched cyclic covers, Math. Ann. 218 (1975), 157-174.
  5. M. G. M. van Doorn and J. H. M. Steenbrink, A supplement of the monodromy theorem, Abh. Math. Sem. Univ. Hamburg 59 (1989), 225-233.
  6. J. Harer, The second cohomology group of the mapping class group of an orientable surface, Invent. Math. 72 (1983), 221-239.
  7. W. Meyer, Die Signatur von lokalen Koeffizientensystemen und Faserbundeln, Bonner Math. Schriften 53 (1972).
  8. J. Milnor, On isometries of inner product spaces, Invent. Math. 8 (1969), 83-97.
  9. A. Némethi, Generalized local and global Sebastiani-Thom type theorems, Compositio Math. 80 (1991), 1-14.
  10. A. Némethi, The zeta function of singularities, J. Algebraic Geom. 2 (1993), 1-23.
  11. A. Némethi, The real Seifert form and the spectral pairs of isolated hypersurface singularities, Compositio Math. 98 (1995), 23-41.
  12. A. Némethi, The semi-ring structure and the spectral pairs of sesqui-linear forms, Algebra Colloq. 1 (1994), 85-95.
  13. A. Némethi, The equivariant signature of hypersurface singularities and eta-invariant, Topology, 34 (2) (1995), 243-259.
  14. A. Némethi, The eta-invariant of variation structures, Topology and its Applications, to appear.
  15. A. Némethi and J. H. M. Steenbrink, Spectral pairs, mixed Hodge modules and series of plane curve singularities, Dept. Math., Univ. of Nijmegen, Report, 1994; New York J. Math., August 16, 1995 (http://nyjm.albany.edu:8000/j/v1/Nemethi-Steenbrink.html).
  16. W. D. Neumann, Invariants of plane curve singularities, Monographie N° 31 de L'Enseignement Math., 1983.
  17. R. Schrauwen, Topological series of isolated plane curve singularities, Eiseign. Math. 36 (1990), 115-141.
  18. J. H. M. Steenbrink, Mixed Hodge Structures on the Vanishing Cohomology, Nordic Summer School/NAVF, Symposium in Math., Oslo, 1976,
  19. C. T. C. Wall, Non-additivity of the signature, Invent. Math. 7 (1969), 269-274.
Pages:
245-257
Main language of publication
English
Published
1996
Exact and natural sciences