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

Bang He Li; Tian Jun Li

doi:10.1016/S0166-8641(02)00357-7

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

Bang He Li, Tian Jun Li

School of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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 language	English (US)
Pages (from-to)	1-15
Number of pages	15
Journal	Topology and its Applications
Volume	132
Issue number	1
DOIs	https://doi.org/10.1016/S0166-8641(02)00357-7
State	Published - 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: [email protected] (B.-H. Li), [email protected] (T.-J. Li).

Keywords

Minimal genus
Negative square

Publisher link

10.1016/S0166-8641(02)00357-7

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title = "Smooth minimal genera for small negative classes in ℂP2#nℂP2 with n≤9",

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.",

keywords = "Minimal genus, Negative square",

author = "Li, {Bang He} and Li, {Tian Jun}",

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: [email protected] (B.-H. Li), [email protected] (T.-J. Li).",

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T1 - Smooth minimal genera for small negative classes in ℂP2#nℂP2 with n≤9

AU - Li, Bang He

AU - Li, Tian Jun

N1 - 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: [email protected] (B.-H. Li), [email protected] (T.-J. Li).

PY - 2003/7/15

Y1 - 2003/7/15

N2 - 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.

AB - 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.

KW - Minimal genus

KW - Negative square

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