Displaying 61 – 80 of 113

Showing per page

On Seiberg-Witten equationsοn symplectic 4-manifolds

Klaus Mohnke (1997)

Banach Center Publications

We discuss Taubes' idea to perturb the monopole equations on symplectic manifolds to compute the Seiberg-Witten invariants in the light of Witten's symmetry trick in the Kähler case.

On signatures associated with ramified coverings and embedding problems

J. Wood, Emery Thomas (1973)

Annales de l'institut Fourier

Given a cohomology class ξ H 2 ( M ; Z ) there is a smooth submanifold K M Poincaré dual to ξ . A special class of such embeddings is characterized by topological properties which hold for nonsingular algebraic hypersurfaces in C P n . This note summarizes some results on the question: how does the divisibility of ξ restrict the dual submanifolds K in this class ? A formula for signatures associated with a d -fold ramified cover of M branched along K is given and a proof is included in case d = 2 .

Réalisations de surfaces hyperboliques complètes dans H 3

Jean-Marc Schlenker (1998)

Annales de l'institut Fourier

Soit K 0 ] - 1 , 0 [ ; chaque métrique complète à courbure K 0 sur la sphère à N 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 K ˜ 0 ] - , 0 [ sans géodésique fermée de longueur L 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.

Reidemeister-type moves for surfaces in four-dimensional space

Dennis Roseman (1998)

Banach Center Publications

We consider smooth knottings of compact (not necessarily orientable) n-dimensional manifolds in n + 2 (or S n + 2 ), for the cases n=2 or n=3. In a previous paper we have generalized the notion of the Reidemeister moves of classical knot theory. In this paper we examine in more detail the above mentioned dimensions. Examples are given; in particular we examine projections of twist-spun knots. Knot moves are given which demonstrate the triviality of the 1-twist spun trefoil. Another application is a smooth...

Currently displaying 61 – 80 of 113