Representing nonnegative homology classes

of by minimal genus smooth embeddings

Author:
Bang-He Li

Journal:
Trans. Amer. Math. Soc. **352** (2000), 4155-4169

MSC (1991):
Primary 57R95, 57R40

DOI:
https://doi.org/10.1090/S0002-9947-99-02422-8

Published electronically:
May 21, 1999

MathSciNet review:
1637082

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: For any nonnegative class in , the minimal genus of smoothly embedded surfaces which represent is given for , and in some cases with , the minimal genus is also given. For the finiteness of orbits under diffeomorphisms with minimal genus , we prove that it is true for with and for with .

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Additional Information

**Bang-He Li**

Affiliation:
Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, Peoples Republic of China

Email:
libh@iss06.iss.ac.cn

DOI:
https://doi.org/10.1090/S0002-9947-99-02422-8

Received by editor(s):
March 25, 1998

Published electronically:
May 21, 1999

Additional Notes:
The author is supported partially by the Tianyuan Foundation of Peoples Republic of China

Article copyright:
© Copyright 2000
American Mathematical Society