Higher spectral flow

Mathematical Research Letters

Volumn 3, Issue 1, 1996, Pages 93-102

  Dai, Xianzhe ^a   Zhang, Weiping ^b,c  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

^b NANKAI UNIVERSITY   (China)

^c NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030306043     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.1996.v3.n1.a9     Document Type: Article

References (13)

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2. [APS2] _, Spectral asymmetry and Riemannian geometry I. Proc. Cambridge Philos. Soc. 77(1975), pp 43-69.
3. [AS] M.F. Atiyah and I.M. Singer, The index of elliptic operators IV, Ann. of Math., 93(1971), pp 119-138.
4. [B] J.-M. Bismut, The Atiyah-Singer index theorem for a family of Dirac operators: two heat equation proofs, Invent. Math., 83(1986), pp 91-151.
5. [BC1] J.-M. Bismut and J. Cheeger, η-invariants and their adiabatic limits, J. of Amer. Math. Soc., 2(1989), pp 33-70.
6. [BC2] _, Families index theorem for manifolds with boundary I, II, J. Functional Analysis, 89(1990), pp 313-363 and 90(1990), pp 306-354.
7. [BC2] _, Families index theorem for manifolds with boundary I, II, J. Functional Analysis, 89(1990), pp 313-363 and 90(1990), pp 306-354.
8. [BC3] _, Remarks on the index theorem for families of Dirac operators on manifolds with boundary, in Differential Geometry, B. Lawson and K. Tenenblat (eds.), Longman Scientific, 1992, pp 59-84.
9. [BD] P. Baum and R. Douglas, Toeplitz operators and Poincare duality, in Proceedings of the Toeplitz memorial conference, I. C. Gohberg (ed.), Birkhäuser, 1981, pp 137-166.
10. [BW] B. Booss and K. Wojciechowski, Elliptic boundary problems for Dirac operators, Birkhäuser, 1993.
11. [DZ1] X. Dai and W. Zhang, The Atiyah-Patodi-Singer index theorem: a proof using embeddings, C. R. Acad. Sci. Paris, Series I, 319(1994), pp 1293-1297.
12. [DZ2] _, in preparation
13. [MP] R. B. Melrose, P. Piazza, Families of Dirac operators, boundaries and the b-calculus, to appear in J. Diff. Geom.