Geometry of twisting cochains

N. R. O'Brian

Compositio Mathematica (1987)

  • Volume: 63, Issue: 1, page 41-62
  • ISSN: 0010-437X

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O'Brian, N. R.. "Geometry of twisting cochains." Compositio Mathematica 63.1 (1987): 41-62. <http://eudml.org/doc/89851>.

@article{OBrian1987,
author = {O'Brian, N. R.},
journal = {Compositio Mathematica},
keywords = {Todd class; Hirzebruch-Riemann-Roch; twisting cochain; Hilbert space; operator-valued symbol; finite section method; Banach space; operators; singular integral operators},
language = {eng},
number = {1},
pages = {41-62},
publisher = {Martinus Nijhoff Publishers},
title = {Geometry of twisting cochains},
url = {http://eudml.org/doc/89851},
volume = {63},
year = {1987},
}

TY - JOUR
AU - O'Brian, N. R.
TI - Geometry of twisting cochains
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 63
IS - 1
SP - 41
EP - 62
LA - eng
KW - Todd class; Hirzebruch-Riemann-Roch; twisting cochain; Hilbert space; operator-valued symbol; finite section method; Banach space; operators; singular integral operators
UR - http://eudml.org/doc/89851
ER -

References

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  1. 1 M.F. Atiyah: Complex analytic connections in fibre bundles. Trans. Amer. Math. Soc.85 (1957) 181-207. Zbl0078.16002MR86359
  2. 2 P.F. Baum and R. Bott: On the zeros of meromorphic vector fields. Essays on topology and related topics, memoires dédiés à Georges de Rham. Springer, Berlin, Heidelberg, New York (1970) 29-47. Zbl0193.52201MR261635
  3. 3 N. Berline and M. Vergne: A computation of the equivariant index of the Dirac operator. Bull. Soc. Math. France113 (1985) 305-345. Zbl0592.58044MR834043
  4. 4 J.-M. Bismuth: The Atiyah-Singer Theorems: a probabilistic approach. I. The index theorem. J. Functional Analysis57 (1984) 56-99. Zbl0538.58033MR744920
  5. 5 E. Getzler: Pseudodifferential operators on supermanifolds and the Atiyah-Singer Index theorem. Commun. Math. Phys.92 (1983) 163-178. Zbl0543.58026MR728863
  6. 6 V. Guillemin and S. Sternberg: Geometric Asymptotics. A.M.S. Mathematical Surveys14 (1977). Zbl0364.53011MR516965
  7. 7 N.R. O'Brian, D. Toledo and Y.L.L. Tong: The trace map and characteristic classes for coherent sheaves. Am. J. Math.103 (1981) 225-252. Zbl0473.14008MR610475
  8. 8 N.R. O'Brian, D. Toledo and Y.L.L. Tong: Hirzebruch-Riemann-Roch for coherent sheaves. Am. J. Math.103 (1981) 253-271. Zbl0474.14009MR610476
  9. 9 N.R. O'Brian, D. Toledo and Y.L.L. Tong: A Grothendieck-Riemann-Roch formula for maps of complex manifolds. Math. Ann.271 (1985) 493-526. Zbl0539.14005MR790113
  10. 10 V.K. Patodi: An analytic proof of Riemann-Roch-Hirzebruch theorem for Kaehler manifolds. J. Diff. Geometry5 (1971) 251-283. Zbl0219.53054MR290318
  11. 11 D. Toledo and Y.L.L. Tong: A parametrix for ∂ and Riemann-Roch in Čech theory. Topology15 (1976) 273-301. Zbl0355.58014
  12. 12 D. Toledo and Y.L.L. Tong: Duality and intersection theory in complex manifolds I. Math. Ann.237 (1978) 41-77. Zbl0391.32008MR506654
  13. 13 D. Toledo and Y.L.L. Tong: Duality and intersection theory in complex manifolds II, the holomorphic Lefschetz formula. Ann. Math.108 (1978) 518-538. Zbl0413.32006MR512431

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