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Smooth free involution of HCP3 and Smith conjecture for imbeddings of S-3 in S-6
Li, Bang-He; Lue, Zhi
2007-12-01
Source PublicationMATHEMATISCHE ANNALEN
ISSN0025-5831
Volume339Issue:4Pages:879-889
AbstractThis paper establishes an equivalence between existence of free involutions on HCP3 and existence of involutions on S-6 with fixed point set an imbedded S-3, then a family of counterexamples of the Smith conjecture for imbeddings of S-3 in S-6 are given by known result on HCP3. In addition, this paper also shows that every smooth homotopy complex projective three-space admits no orientation preserving smooth free involution, which answers an open problem ( Petrie T in Lecture Notes in Mathematics, Springer, New York, Vol. 298, pp. 234 - 259, 1972). Moreover, the study of existence problem for smooth orientation preserving involutions on HCP3 is completed.
DOI10.1007/s00208-007-0134-y
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000249652700008
PublisherSPRINGER
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/4107
Collection中国科学院数学与系统科学研究院
Corresponding AuthorLue, Zhi
Affiliation1.Fudan Univ, Sch Math Sci, Inst Math, Shanghai 200433, Peoples R China
2.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Li, Bang-He,Lue, Zhi. Smooth free involution of HCP3 and Smith conjecture for imbeddings of S-3 in S-6[J]. MATHEMATISCHE ANNALEN,2007,339(4):879-889.
APA Li, Bang-He,&Lue, Zhi.(2007).Smooth free involution of HCP3 and Smith conjecture for imbeddings of S-3 in S-6.MATHEMATISCHE ANNALEN,339(4),879-889.
MLA Li, Bang-He,et al."Smooth free involution of HCP3 and Smith conjecture for imbeddings of S-3 in S-6".MATHEMATISCHE ANNALEN 339.4(2007):879-889.
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