Smooth minimal genera for small negative classes in ℂP2#nℂP2 with n≤9

Bang He Li, Tian Jun Li

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Abstract

The smooth minimal genera for ξ∈H2(ℂP2 # n ℂP2, Z) are determined completely when n≤9 and 0>ξ2>-16. In particular, we find that ξ is represented by an embedded 2-sphere when 0>ξ2>-n-7 and n≤9.

Original languageEnglish (US)
Pages (from-to)1-15
Number of pages15
JournalTopology and its Applications
Volume132
Issue number1
DOIs
StatePublished - Jul 15 2003

Bibliographical note

Funding Information:
✩ The first author is partially supported by the 973 programe of P. R. China, the second author is partially supported by NSF grant DMS 9975469. * Corresponding author. E-mail addresses: libh@iss06.iss.ac.cn (B.-H. Li), tli@math.princeton.edu (T.-J. Li).

Keywords

  • Minimal genus
  • Negative square

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