The simple invariant and differentiable structures on the Horikawa surface

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We calculate Donaldson’s simple invariant for a surface of general type known as the Horikawa surface and for regular elliptic surfaces, by using Kronheimer’s method. As a corollary, it is shown that there exist infinitely many differentiable structures on these surfaces and a torus sum of them.

Original languageEnglish
Pages (from-to)541-553
Number of pages13
JournalTohoku Mathematical Journal
Issue number4
Publication statusPublished - 1995
Externally publishedYes


ASJC Scopus subject areas

  • Mathematics(all)

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