Classification of homotopy classes of equivariant gradient maps

• Autorzy: E. N. Dancer , K. Gęba , S. M. Rybicki
• Języki publikacji: EN

Abstrakty

EN

Let V be an orthogonal representation of a compact Lie group G and let S(V),D(V) be the unit sphere and disc of V, respectively. If F: V → ℝ is a G-invariant C¹-map then the G-equivariant gradient C⁰-map ∇F: V → V is said to be admissible provided that $(∇F)^{-1}(0) ∩ S(V) = ∅$. We classify the homotopy classes of admissible G-equivariant gradient maps ∇F: (D(V),S(V)) → (V,V∖{0}).

Kategorie tematyczne

• 55P91: Equivariant homotopy theory
• 47H11: Degree theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2005
• Tom: 185
• Numer: 1
• Strony: 1-18

Daty

wydano

2005

Twórcy

autor

E. N. Dancer

• School of Mathematics, Sydney University, Sydney, NSW 2006, Australia

autor

K. Gęba

• Faculty of Technical Physics, and Applied Mathematics, Technical University of Gdańsk, Narutowicza 11-12, PL-80-952 Gdańsk, Poland

autor

S. M. Rybicki

• Faculty of Mathematics, and Computer Science, Nicolaus Copernicus University, Chopina 12-18, PL-87-100 Toruń, Poland

Identyfikatory

DOI

10.4064/fm185-1-1