Abstract
The question of the topological invariance of the plurigenera resisted much longer. In fact, they are invariants of the differentiable structure, but not of the topological structure.
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References
W.P. Barth, K. Hulek, C.A.M. Peters, A. Van de Ven, Compact Complex Surfaces, 2nd Enlarged edn. (Springer, New York, 2004)
R. Brussee, The canonical class and the C ∞ properties of Kähler surfaces. N. Y. J. Math. 2, 103–146 (1996)
S. Donaldson, An application of gauge theory to four-dimensional topology. J. Differ. Geom. 18 (2), 279–315 (1983)
S. Donaldson, Irrationality and the h-cobordism conjecture. J. Differ. Geom. 26 (1), 141–168 (1987)
M.H. Freedman, The topology of four-dimensional manifolds. J. Differ. Geom. 17 (3), 357–453 (1982)
R. Friedman, J.W. Morgan, Smooth Four-Manifolds and Complex Surfaces (Springer, New York, 1994)
R. Friedman, J.W. Morgan, Algebraic Surfaces and Seiberg–Witten Invariants. J. Algebraic Geom. 6 (3), 445–479 (1997)
J. Milnor, On manifolds homeomorphic to the 7-sphere. Ann. Math. (2) 64, 399–405 (1956)
J. Milnor, Topology through the centuries: low dimensional manifolds. Bull. Am. Math. Soc. (N.S.) 52 (4), 545–584 (2015)
E.E. Moise, Affine structures in 3-manifolds. V. The triangulation theorem and Hauptvermutung. Ann. Math. (2) 56, 96–114 (1952)
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Popescu-Pampu, P. (2016). Comparison of Structures. In: What is the Genus?. Lecture Notes in Mathematics(), vol 2162. Springer, Cham. https://doi.org/10.1007/978-3-319-42312-8_35
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DOI: https://doi.org/10.1007/978-3-319-42312-8_35
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