Variation structures: results and open problems
Némethi, András
Banach Center Publications, Tome 37 (1996), p. 245-257 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:262669 
@article{bwmeta1.element.bwnjournal-article-bcpv33z1p245bwm,
     author = {N\'emethi, Andr\'as},
     title = {Variation structures: results and open problems},
     journal = {Banach Center Publications},
     volume = {37},
     year = {1996},
     pages = {245-257},
     zbl = {0855.32019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv33z1p245bwm}
}

Némethi, András. Variation structures: results and open problems. Banach Center Publications, Tome 37 (1996) pp. 245-257. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv33z1p245bwm/

[000] [1] V. I. Arnold, S. M. Gusein-Zade and A. N. Varchenko, Singularities of Differentiable Mappings, Vol. 2, Birkhäuser, Boston, 1988. | Zbl 1297.32001

[001] [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).

[002] [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. | Zbl 0297.58008

[003] [4] A. Durfee and L. Kaufman, Periodicity of branched cyclic covers, Math. Ann. 218 (1975), 157-174. | Zbl 0296.55001

[004] [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. | Zbl 0712.32022

[005] [6] J. Harer, The second cohomology group of the mapping class group of an orientable surface, Invent. Math. 72 (1983), 221-239. | Zbl 0533.57003

[006] [7] W. Meyer, Die Signatur von lokalen Koeffizientensystemen und Faserbundeln, Bonner Math. Schriften 53 (1972).

[007] [8] J. Milnor, On isometries of inner product spaces, Invent. Math. 8 (1969), 83-97. | Zbl 0177.05204

[008] [9] A. Némethi, Generalized local and global Sebastiani-Thom type theorems, Compositio Math. 80 (1991), 1-14. | Zbl 0744.32020

[009] [10] A. Némethi, The zeta function of singularities, J. Algebraic Geom. 2 (1993), 1-23. | Zbl 0778.32011

[010] [11] A. Némethi, The real Seifert form and the spectral pairs of isolated hypersurface singularities, Compositio Math. 98 (1995), 23-41. | Zbl 0851.14015

[011] [12] A. Némethi, The semi-ring structure and the spectral pairs of sesqui-linear forms, Algebra Colloq. 1 (1994), 85-95. | Zbl 0814.11022

[012] [13] A. Némethi, The equivariant signature of hypersurface singularities and eta-invariant, Topology, 34 (2) (1995), 243-259. | Zbl 0821.32030

[013] [14] A. Némethi, The eta-invariant of variation structures, Topology and its Applications, to appear. | Zbl 0846.32025

[014] [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). | Zbl 0878.14017

[015] [16] W. D. Neumann, Invariants of plane curve singularities, Monographie N° 31 de L'Enseignement Math., 1983.

[016] [17] R. Schrauwen, Topological series of isolated plane curve singularities, Eiseign. Math. 36 (1990), 115-141. | Zbl 0708.57011

[017] [18] J. H. M. Steenbrink, Mixed Hodge Structures on the Vanishing Cohomology, Nordic Summer School/NAVF, Symposium in Math., Oslo, 1976, | Zbl 0373.14007

[018] [19] C. T. C. Wall, Non-additivity of the signature, Invent. Math. 7 (1969), 269-274. | Zbl 0176.21501