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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.1
- 수록면
- 357 - 363 (7page)
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Let the circle act on a compact almost complex manifold M with a non-empty discrete fixed point set. To each fixed point, there are associated non-zero integers called weights. A positive weight w is called primitive if it cannot be written as the sum of positive weights, other than w itself. In this paper, we show that if every weight is primitive, then the Todd genus Todd(M) of M is positive and there are Todd(M) · 2n fixed points, where dim M = 2n. This generalizes the result for symplectic semi- free actions by Tolman and Weitsman [8], the result for semi-free actions on almost complex manifolds by the author [6], and the result for certain symplectic actions by Godinho [1].
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참고문헌 (8)
참고문헌 신청
L. Godinho / 2005 / On certain symplectic circle actions / J. Symplectic Geom 3:357~383
A. Hattori / 1985 / S1-actions on unitary manifolds and quasi-ample line bundles / J. Fac. Sci. Univ. Tokyo Sect. IA Math 31:433~486
D. Jang / 2017 / Hamiltonian circle actions on eight dimensional manifolds with minimal fixed sets / Transformation Groups 22:353~359
D. Jang / 2017 / Symplectic circle actions with isolated fixed points / Journal of Symplectic Ge-ometry 15:1071~1087
D. Jang / 2017 / Circle actions on almost complex manifolds with isolated fixed points / Journal of Geometry and Physics 119:187~192
A. Hattori / 1985 / S1-actions on unitary manifolds and quasi-ample line bundles / J. Fac. Sci. Univ. Tokyo Sect. IA Math 31:433~486
D. Jang / 2017 / Hamiltonian circle actions on eight dimensional manifolds with minimal fixed sets / Transformation Groups 22:353~359
D. Jang / 2017 / Symplectic circle actions with isolated fixed points / Journal of Symplectic Ge-ometry 15:1071~1087
D. Jang / 2017 / Circle actions on almost complex manifolds with isolated fixed points / Journal of Geometry and Physics 119:187~192
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