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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 on complex...

Real algebraic curves and real algebraic functions.

Frediani, P. (2002)

Portugaliae Mathematica. Nova Série

Real algebraic structures on topological spaces

Selman Akbulut, Henry C. King (1981)

Publications Mathématiques de l'IHÉS

Real Analytic Germs and Theri Varieties at Isolated Singularities.

Henry, C. King (1976)

Inventiones mathematicae

Real deformations and complex topology of plane curve singularities

Norbert A'Campo (1999)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Real embeddings and eta invariants.

Jean-Michel Bismut, Weiping Zhang (1993)

Mathematische Annalen

Real Homotopy Theory of Kähler Manifolds.

P., Griffiths, P. Deligne, J. Morgan (1975)

Inventiones mathematicae

Real singularities and open-book decompositions of the 3-sphere

Anne Pichon, José Seade (2003)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Réalisations de surfaces hyperboliques complètes dans $H^{3}$

Jean-Marc Schlenker (1998)

Annales de l'institut Fourier

Soit $K_{0} \in] - 1, 0 [$ ; chaque métrique complète à courbure $K_{0}$ sur la sphère à $N \geq 1$ trous admet une unique réalisation comme métrique induite sur une surface plongée dans $H^{3}$ dont le bord à l’infini est une réunion disjointe de cercles. De manière duale, chaque métrique complète à courbure ${\tilde{K}}_{0} \in] - \infty, 0 [$ sans géodésique fermée de longueur $L \leq 2 π$ se réalise de manière unique comme troisième forme fondamentale d’une surface plongée dont le bord à l’infini est une réunion de cercles.

Realization of primitive branched coverings over closed surfaces following the hurwitz approach

Semeon Bogatyi, Daciberg Gonçalves, Elena Kudryavtseva, Heiner Zieschang (2003)

Open Mathematics

Let V be a closed surface, H⊑π1(V) a subgroup of finite index l and D=[A 1,...,A m] a collection of partitions of a given number d≥2 with positive defect v(D). When does there exist a connected branched covering f:W→V of order d with branch data D and f∶W→V It has been shown by geometric arguments [4] that, for l=1 and a surface V different from the sphere and the projective plane, the corresponding branched covering exists (the data D is realizable) if and only if the data D fulfills the Hurwitz...

Realization of simply-connected 4-manifolds with a given boundary.

Steven Boyer (1993)

Commentarii mathematici Helvetici

Realizing automorphisms of the fundamental group of irreducible 3-manifolds containing two-sided projective planes.

John Kalliongis (1992)

Mathematische Annalen

Realizing Homology Classes by Almost-Complex Submanifolds.

Elmer Rees, Emery Thomas (1980)

Mathematische Zeitschrift

Rechtsdibrutive Quasigruppen auf 1-Mannigfaltigkeiten.

Karl Strambach (1975)

Mathematische Zeitschrift

Rechtsdistributive Multiplikationen auf homogenen Räumen.

Karl Strambach (1987)

Journal für die reine und angewandte Mathematik

Reciprocal domains and Cohen-Macaulay $d$ -complexes in $ℝ^{d}$ .

Miller, Ezra, Reiner, Victor (2005)

The Electronic Journal of Combinatorics [electronic only]

Recognizing the topology of the space of closed convex subsets of a Banach space

Taras Banakh, Ivan Hetman, Katsuro Sakai (2013)

Studia Mathematica

Recollement de variétés de contact tendues

Vincent Colin (1999)

Bulletin de la Société Mathématique de France

Reconstructing Surface Triangulations by Their Intersection Matrices 26 September 2014

Jorge L. Arocha, Javier Bracho, Natalia García-Colín, Isabel Hubard (2015)

Discussiones Mathematicae Graph Theory

The intersection matrix of a simplicial complex has entries equal to the rank of the intersecction of its facets. We prove that this matrix is enough to define up to isomorphism a triangulation of a surface.

Reconstruction of manifolds and subsets of normed spaces from subgroups of their homeomorphism groups [Book]

Matatyahu Rubin, Yosef Yomdin (2005)

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