Boundary integral for the Ramachandran index
Antonini, Paolo
Rendiconti del Seminario Matematico della Università di Padova, Tome 132 (2014), p. 1-14 / Harvested from Numdam
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Publié le : 2014-01-01
@article{RSMUP_2014__131__1_0,
     author = {Antonini, Paolo},
     title = {Boundary integral for the Ramachandran index},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {132},
     year = {2014},
     pages = {1-14},
     mrnumber = {3217747},
     zbl = {06329754},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_2014__131__1_0}
}

Antonini, Paolo. Boundary integral for the Ramachandran index. Rendiconti del Seminario Matematico della Università di Padova, Tome 132 (2014) pp. 1-14. http://gdmltest.u-ga.fr/item/RSMUP_2014__131__1_0/

[1] M. F. Atiyah, V. K. Patodi and I. M. Singer. Spectral asymmetry and Riemannian geometry. I. Math. Proc. Cambridge Philos. Soc. 77 (1975), pp. 43–69. | MR 397797 | Zbl 0297.58008

[2] Paolo Antonini, The Atiyah Patodi Singer signature formula for measured foliations, http://arxiv.org/abs/0901.0143 | MR 3276159 | Zbl 1305.58014

[3] Paolo Antonini, The Atiyah Patodi Singer index formula for measured foliations, http://arxiv.org/abs/0907.0801. Accepted for publication on the Bull. Sci. Math. | MR 3023206 | Zbl 1284.58010

[4] B. Boos–Bavnbeck, K. P. Wojciechhowski, Elliptic boundary value problems for Dirac operators. Birkhauser Boston, 1993.

[5] Manfred Breuer, Fredholm theories on Von Neumann algebras I, Math. Ann. 178 (1968), pp. 243–254. | MR 234294 | Zbl 0162.18701

[6] Manfred Breuer, Fredholm theories on Von Neumann algebras II, Math. Ann. 180 (1969), pp. 313–325. | MR 264407 | Zbl 0175.44102

[7] Wolfang Luck, L 2 Invariants: Theory and applications to geometry and K–Theory, A Series of Modern Surveys in Mathematics, 44. Springer, Berlin, 2002. | MR 1926649 | Zbl 1009.55001

[8] A. S. Mishchenko, A. T. Fomenko, The index of elliptic operators over C * algebras AT. Izv. Math. 15 (1980), pp. 87–112. | MR 548506 | Zbl 0448.46039

[9] J. Roe, An index theorem on open manifolds I, J. Differential Geom. 27 (1988), pp. 87–113. | MR 918459 | Zbl 0657.58041

[10] T. Schick, L 2 -index theorems KK-Theory and connections, New York J. Math. 11 (2005), pp. 387–443. | MR 2188248 | Zbl 1093.58009

[11] Mohan Ramachandran, Von Neumann index theorems for manifolds with boundary. J. Differential Geom. 38 (1993), pp. 315–349. | MR 1237487 | Zbl 0787.58040

[12] John roe, Elliptic operators, topology and asymptotic methods, Pitman Research Notes in Mathematics Series, 395. Longman, Harlow, 1998. | MR 1670907 | Zbl 0919.58060

[13] Michael Shubin, L 2 Riemann-Roch Theorem for Elliptic Operators, Geom. Func. Anal. 5 (1995), pp. 482–527. | MR 1334877 | Zbl 0840.58045

[14] S. Vassout, Unbounded pseudodifferential calculus for Lie groupoids, J. Funct. Anal. 236 (2006), pp. 161–200. | MR 2227132 | Zbl 1105.58014

[15] Boris Vaillant, Index theory for coverings, http://arxiv.org/abs/0806.4043