On manifolds diffeomorphic on the complement of a point

Stefano De Michelis

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1991)

  • Volume: 2, Issue: 3, page 229-233
  • ISSN: 1120-6330

Abstract

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We prove that four manifolds diffeomorphic on the complement of a point have the same Donaldson invariants.

How to cite

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De Michelis, Stefano. "On manifolds diffeomorphic on the complement of a point." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 2.3 (1991): 229-233. <http://eudml.org/doc/244291>.

@article{DeMichelis1991,
abstract = {We prove that four manifolds diffeomorphic on the complement of a point have the same Donaldson invariants.},
author = {De Michelis, Stefano},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Manifolds; Instantons; Donaldson polynomials; nondiffeomorphic smooth 4-manifolds; diffeomorphic on the complement of a point; periodic ends; gauge theory},
language = {eng},
month = {9},
number = {3},
pages = {229-233},
publisher = {Accademia Nazionale dei Lincei},
title = {On manifolds diffeomorphic on the complement of a point},
url = {http://eudml.org/doc/244291},
volume = {2},
year = {1991},
}

TY - JOUR
AU - De Michelis, Stefano
TI - On manifolds diffeomorphic on the complement of a point
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1991/9//
PB - Accademia Nazionale dei Lincei
VL - 2
IS - 3
SP - 229
EP - 233
AB - We prove that four manifolds diffeomorphic on the complement of a point have the same Donaldson invariants.
LA - eng
KW - Manifolds; Instantons; Donaldson polynomials; nondiffeomorphic smooth 4-manifolds; diffeomorphic on the complement of a point; periodic ends; gauge theory
UR - http://eudml.org/doc/244291
ER -

References

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  1. DE MICHELIS, S. - FREEDMAN, M., Uncountably many exotic 's in Standard 4-space. Preprint. 
  2. DONALDSON, S. - SULLIVAN, D., Quasiconformal 4 Manifolds. Preprint. Zbl0704.57008MR1032074DOI10.1007/BF02392736
  3. KERVAIRE, M. - MILNOR, J., Groups of Homotopy Spheres. I. Annals of Mathematics, 77, 1963, 504-537. Zbl0115.40505MR148075
  4. MILNOR, J., Lectures on the h-cobordism Theorem. Princeton University Press, Princeton. 1965. Zbl0161.20302MR190942
  5. TAUBES, C., Gauge Theory on Asymptotically Periodic Four Manifolds. Journal of Differential Geometry, 25, 1987, 363-430. Zbl0615.57009MR882829
  6. BROWN, M., Unpublished result, 1964. 

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