On the eta-invariant of $\mathrm {Pin}^+$-operator on some exotic 4-dimensional projective space

Oledzki, Wiesław J.

On the eta-invariant of

{Pin}^{+}

-operator on some exotic 4-dimensional projective space

Oledzki, Wiesław J.

Compositio Mathematica, Tome 78 (1991) no. 1, pp. 1-27.

Zbl

@article{CM_1991__78_1_1_0,
     author = {Oledzki, Wies{\l}aw J.},
     title = {On the eta-invariant of $\mathrm {Pin}^+$-operator on some exotic 4-dimensional projective space},
     journal = {Compositio Mathematica},
     pages = {1--27},
     publisher = {Kluwer Academic Publishers},
     volume = {78},
     number = {1},
     year = {1991},
     zbl = {0725.57017},
     language = {en},
     url = {http://www.numdam.org/item/CM_1991__78_1_1_0/}
}

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JO  - Compositio Mathematica
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%A Oledzki, Wiesław J.
%T On the eta-invariant of $\mathrm {Pin}^+$-operator on some exotic 4-dimensional projective space
%J Compositio Mathematica
%D 1991
%P 1-27
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Oledzki, Wiesław J. On the eta-invariant of $\mathrm {Pin}^+$-operator on some exotic 4-dimensional projective space. Compositio Mathematica, Tome 78 (1991) no. 1, pp. 1-27. http://www.numdam.org/item/CM_1991__78_1_1_0/

Bibliographie
Cité par

[1] M.F. Atiyah, R. Bott and R. Shapiro, Clifford modules, Topology 3, Suppl. 1 (1964), 3-38. | MR | Zbl

[2] S.E. Cappell and J.L. Shaneson, Some new four-manifolds, Ann. of Math. 104 (1976), 61-72. | MR | Zbl

[3] J. Cerf, Sur les difféomorphismes de la sphére de dimension trois (Γ4 = 0). Lecture Notes No. 53, Springer-Verlag (1968). | Zbl

[4] R. Fintushel, and R.J. Stern, An exotic free involution on S4, Ann. of Math. 113 (1981), 357-365. | MR | Zbl

[5] P.B. Gilkey, The eta-invariant for even-dimensional Pinc-manifolds, Adv. in Math. 58 (1985), 243-284. | MR | Zbl

[6] S. López De Medrano, Involutions on manifolds, Springer-Verlag, Berlin (1971). | MR | Zbl

[7] R. Mandelbaum, Four-dimensional topology, Moscow (1981) (Russian edition). | MR | Zbl

[8] W.D. Neumann, F. Raymond, Seifert manifolds, plumbing, μ-invariant and orientation reversing maps, Lecture Notes No. 664, 163-196. | Zbl

[9] S. Stolz, Exotic structures on 4-manifolds detected by spectral invariants, Invent. Math. 94, 147-162 (1988). | MR | Zbl