On the eta-invariant of Pin + -operator on some exotic 4-dimensional projective space

Wiesław J. Oledzki

Compositio Mathematica (1991)

  • Volume: 78, Issue: 1, page 1-27
  • ISSN: 0010-437X

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Oledzki, Wiesław J.. "On the eta-invariant of $\mathrm {Pin}^+$-operator on some exotic 4-dimensional projective space." Compositio Mathematica 78.1 (1991): 1-27. <http://eudml.org/doc/90079>.

@article{Oledzki1991,
author = {Oledzki, Wiesław J.},
journal = {Compositio Mathematica},
keywords = {exotic differentiable structures; 4-manifold; real projective space; -structure; eta-invariant; twisted Dirac operator},
language = {eng},
number = {1},
pages = {1-27},
publisher = {Kluwer Academic Publishers},
title = {On the eta-invariant of $\mathrm \{Pin\}^+$-operator on some exotic 4-dimensional projective space},
url = {http://eudml.org/doc/90079},
volume = {78},
year = {1991},
}

TY - JOUR
AU - Oledzki, Wiesław J.
TI - On the eta-invariant of $\mathrm {Pin}^+$-operator on some exotic 4-dimensional projective space
JO - Compositio Mathematica
PY - 1991
PB - Kluwer Academic Publishers
VL - 78
IS - 1
SP - 1
EP - 27
LA - eng
KW - exotic differentiable structures; 4-manifold; real projective space; -structure; eta-invariant; twisted Dirac operator
UR - http://eudml.org/doc/90079
ER -

References

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  1. [1] M.F. Atiyah, R. Bott and R. Shapiro, Clifford modules, Topology3, Suppl. 1 (1964), 3-38. Zbl0146.19001MR167985
  2. [2] S.E. Cappell and J.L. Shaneson, Some new four-manifolds, Ann. of Math.104 (1976), 61-72. Zbl0345.57003MR418125
  3. [3] J. Cerf, Sur les difféomorphismes de la sphére de dimension trois (Γ4 = 0). Lecture Notes No. 53, Springer-Verlag (1968). Zbl0164.24502
  4. [4] R. Fintushel, and R.J. Stern, An exotic free involution on S4, Ann. of Math.113 (1981), 357-365. Zbl0474.57014MR607896
  5. [5] P.B. Gilkey, The eta-invariant for even-dimensional Pinc-manifolds, Adv. in Math.58 (1985), 243-284. Zbl0602.58041MR815358
  6. [6] S. López de Medrano, Involutions on manifolds, Springer-Verlag, Berlin (1971). Zbl0214.22501MR298698
  7. [7] R. Mandelbaum, Four-dimensional topology, Moscow (1981) (Russian edition). Zbl0645.57001MR671584
  8. [8] W.D. Neumann, F. Raymond, Seifert manifolds, plumbing, μ-invariant and orientation reversing maps, Lecture Notes No. 664, 163-196. Zbl0401.57018
  9. [9] S. Stolz, Exotic structures on 4-manifolds detected by spectral invariants, Invent. Math.94, 147-162 (1988). Zbl0656.58032MR958593

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