An openness theorem for harmonic $2$-forms on $4$-manifolds
Honda, Ko
Illinois J. Math., Tome 44 (2000) no. 4, p. 479-495 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
Let $M$ be a closed, oriented $4$-manifold with $b^{\pm}_{2} \gt 0$. In this paper we show that the space of transverse intrinsically harmonic $2$-forms in a fixed cohomology class is open in the space of closed $2$-forms, subject to a condition which arises from cohomological considerations of a singular differential ideal.
Publié le : 2000-09-15
Classification:  58A14,  58J10 
@article{1256060409,
     author = {Honda, Ko},
     title = {An openness theorem for harmonic $2$-forms on $4$-manifolds},
     journal = {Illinois J. Math.},
     volume = {44},
     number = {4},
     year = {2000},
     pages = { 479-495},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1256060409}
}

Honda, Ko. An openness theorem for harmonic $2$-forms on $4$-manifolds. Illinois J. Math., Tome 44 (2000) no. 4, pp.  479-495. http://gdmltest.u-ga.fr/item/1256060409/