EUDML

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Torus Actions on Homotopy Complex Projective Spaces.

Ted Petrie — 1973

Inventiones mathematicae

Exotic S1 Actions on CP3 and Related Topics.

Ted Petrie — 1972

Inventiones mathematicae

Algebraic automorphisms of smooth affine surfaces.

Ted Petrie — 1989

Inventiones mathematicae

G Maps and the Projective Class Group

Ted Petrie — 1976

Commentarii mathematici Helvetici

Real algebraic actions on projective spaces - A survey

Ted Petrie — 1973

Annales de l'institut Fourier

Let $G$ be a compact lie group. We introduce the set $S_{G} (Y)$ for every smooth $G$ manifold $Y$ . It consists of equivalence classes of pair $(X, f)$ where $f : X \to Y$ is a $G$ map which defines a homotopy equivalence from $X$ to $Y$ . Two pairs $(X_{i}, f_{i})$ , for $i = 0, 1$ , are equivalent if there is a $G$ homotopy equivalence $φ : X_{0} \to X_{1}$ such that $f_{0}$ is $G$ homotopic to $f_{1} \circ φ$ . Properties of the set $S_{G} (Y)$ and related to the representation of $G$ on the tangent spaces of $X$ and $Y$ at the fixed points. For the case $G = S^{1}$ and $Y$ is the $S^{1}$ manifold defined by a “linear” $S^{1}$ action...