Circle Actions on Oriented Manifolds with Few Fixed Points

DOI10.7858/eamj.2020.041zbMath1479.58006OpenAlexW3156006241MaRDI QIDQ5164932

Donghoon Jang

Publication date: 15 November 2021

Full work available at URL: http://koreascience.or.kr/journal/view.jsp?kj=E1BGBB&py=2020&vnc=v36n5&sp=593

zbMATH Keywords

circle actionsignatureoriented manifoldweightAtiyah-Singer index formula

Mathematics Subject Classification ID

Fixed-point theorems on manifolds (58C30) Index theory and related fixed-point theorems on manifolds (58J20) Group actions and symmetry properties (58D19) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Group actions on manifolds and cell complexes in low dimensions (57M60)

Cites Work

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• Circle actions with two fixed points
• Circle action with prescribed number of fixed points
• Circle actions on oriented manifolds with discrete fixed point sets and classification in dimension 4
• Holomorphic vector fields with simple isolated zeros
• Circle actions on almost complex manifolds with 4 fixed points
• Circle actions on almost complex manifolds with isolated fixed points
• The index of elliptic operators. III
• Symplectic periodic flows with exactly three equilibrium points
• Fixed points of symplectic periodic flows

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