Novikov–Shubin invariant
In mathematics, a Novikov–Shubin invariant. introduced by Novikov and Shubin (1986), is an invariant of a Riemannian manifold related to the spectrum of the Laplace operator acting on differential forms.
References
- Cheeger, Jeff; Gromov, Mikhael (1985), "On the characteristic numbers of complete manifolds of bounded curvature and finite volume", in Chavel, Isaac; Farkas, Hershel M., Differential geometry and complex analysis, Berlin, New York: Springer-Verlag, pp. 115–154, ISBN 978-3-540-13543-2, MR 780040
- Efremov, A. V. (1991), "Cell decompositions and the Novikov-Shubin invariants", Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo. Uspekhi Matematicheskikh Nauk, 46 (3): 189–190, doi:10.1070/RM1991v046n03ABEH002800, ISSN 0042-1316, MR 1134099
- Gromov, Mikhail; Shubin, M. A. (1991), "von Neumann spectra near zero", Geometric and Functional Analysis, 1 (4): 375–404, doi:10.1007/BF01895640, ISSN 1016-443X, MR 1132295
- Novikov, S. P.; Shubin, M. A. (1986), "Morse inequalities and von Neumann II1-factors", Doklady Akademii Nauk SSSR, 289 (2): 289–292, ISSN 0002-3264, MR 856461
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