2026-09-24T18:20:42Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/82272022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Tomasz S. Mrowka.
Degeratu, Anda, 1972-
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2005-08-23T18:27:11Z
2005-08-23T18:27:11Z
2001
2001
http://hdl.handle.net/1721.1/8227
50147763
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.
Includes bibliographical references (p. 57-58).
We look at the singularity Cn/[Gamma], for [Gamma] finite subgroup of SU(n), from two perspectives. From a geometrical point of view, Cn/[Gamma] is an orbifold with boundary S2n-1/[Gamma]. We define and compute the corresponding orbifold [eta]-invariant. From an algebraic point of view, we look at the algebraic variety Cn/[Gamma] and we analyze the associated Molien series. The main result is formula which relates the two notions: [eta]-invariant and Molien series. Along the way computations of the spectrum of the Dirac operator on the sphere are performed.
by Anda Degeratu.
Ph.D.
58 p.
3714695 bytes
3714453 bytes
application/pdf
application/pdf
eng
Massachusetts Institute of Technology
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http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
Eta-invariants and Molien series for unimodular group
Thesis
application/pdf
Publication
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