Variation structures: results and open problems

András Némethi

Banach Center Publications (1996)

  • Volume: 33, Issue: 1, page 245-257
  • ISSN: 0137-6934

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Némethi, András. "Variation structures: results and open problems." Banach Center Publications 33.1 (1996): 245-257. <http://eudml.org/doc/262669>.

@article{Némethi1996,
author = {Némethi, András},
journal = {Banach Center Publications},
keywords = {variation structure; Seifert form; Witt group},
language = {eng},
number = {1},
pages = {245-257},
title = {Variation structures: results and open problems},
url = {http://eudml.org/doc/262669},
volume = {33},
year = {1996},
}

TY - JOUR
AU - Némethi, András
TI - Variation structures: results and open problems
JO - Banach Center Publications
PY - 1996
VL - 33
IS - 1
SP - 245
EP - 257
LA - eng
KW - variation structure; Seifert form; Witt group
UR - http://eudml.org/doc/262669
ER -

References

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  2. [2] M. Demazure, Classification des germes à point critique isolé et à nombre de modules 0 ou 1 (d’après Arnold), Sém. Bourbaki 26 e année, 1973/74, 443, (1974). 
  3. [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. Zbl0297.58008
  4. [4] A. Durfee and L. Kaufman, Periodicity of branched cyclic covers, Math. Ann. 218 (1975), 157-174. Zbl0296.55001
  5. [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. Zbl0712.32022
  6. [6] J. Harer, The second cohomology group of the mapping class group of an orientable surface, Invent. Math. 72 (1983), 221-239. Zbl0533.57003
  7. [7] W. Meyer, Die Signatur von lokalen Koeffizientensystemen und Faserbundeln, Bonner Math. Schriften 53 (1972). 
  8. [8] J. Milnor, On isometries of inner product spaces, Invent. Math. 8 (1969), 83-97. Zbl0177.05204
  9. [9] A. Némethi, Generalized local and global Sebastiani-Thom type theorems, Compositio Math. 80 (1991), 1-14. Zbl0744.32020
  10. [10] A. Némethi, The zeta function of singularities, J. Algebraic Geom. 2 (1993), 1-23. Zbl0778.32011
  11. [11] A. Némethi, The real Seifert form and the spectral pairs of isolated hypersurface singularities, Compositio Math. 98 (1995), 23-41. Zbl0851.14015
  12. [12] A. Némethi, The semi-ring structure and the spectral pairs of sesqui-linear forms, Algebra Colloq. 1 (1994), 85-95. Zbl0814.11022
  13. [13] A. Némethi, The equivariant signature of hypersurface singularities and eta-invariant, Topology, 34 (2) (1995), 243-259. Zbl0821.32030
  14. [14] A. Némethi, The eta-invariant of variation structures, Topology and its Applications, to appear. Zbl0846.32025
  15. [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). Zbl0878.14017
  16. [16] W. D. Neumann, Invariants of plane curve singularities, Monographie N° 31 de L'Enseignement Math., 1983. 
  17. [17] R. Schrauwen, Topological series of isolated plane curve singularities, Eiseign. Math. 36 (1990), 115-141. Zbl0708.57011
  18. [18] J. H. M. Steenbrink, Mixed Hodge Structures on the Vanishing Cohomology, Nordic Summer School/NAVF, Symposium in Math., Oslo, 1976, Zbl0373.14007
  19. [19] C. T. C. Wall, Non-additivity of the signature, Invent. Math. 7 (1969), 269-274. Zbl0176.21501

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