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Displaying 1081 – 1100 of 2024

Novikov homology, jump loci and Massey products

Toshitake Kohno, Andrei Pajitnov (2014)

Open Mathematics

Let X be a finite CW complex, and ρ: π 1(X) → GL(l, ℂ) a representation. Any cohomology class α ∈ H 1(X, ℂ) gives rise to a deformation γ t of ρ defined by γ t (g) = ρ(g) exp(t〈α, g〉). We show that the cohomology of X with local coefficients γ gen corresponding to the generic point of the curve γ is computable from a spectral sequence starting from H*(X, ρ). We compute the differentials of the spectral sequence in terms of the Massey products and show that the spectral sequence degenerates in case...

Obstructions for Clifford Structures on Vector Bundles.

Ulrich Schwardmann (1982)

Mathematische Zeitschrift

Obstructions to Embedding and Isotopy in the Metastable Range.

C. Kearton (1979)

Mathematische Annalen

Obstructions to the existence of monotone Lagrangian embeddings into cotangent bundles of manifolds fibered over the circle

Agnès Gadbled (2009)

Annales de l’institut Fourier

We extend the constructions and results of Damian to get topological obstructions to the existence of closed monotone Lagrangian embeddings into the cotangent bundle of a space which is the total space of a fibration over the circle.

Om multiple points of smooth immersions.

Felice Ronga (1980)

Commentarii mathematici Helvetici

On 2-cycles of $B Diff (S^{1})$ which are represented by foliated $S^{1}$ -bundles over $T^{2}$

Takashi Tsuboi (1981)

Annales de l'institut Fourier

We give several sufficients conditions for a 2-cycle of $B$ Diff $(S^{1})_{d}$ (resp. $B$ Diff $_{K} (R)_{d}$ ) represented by a foliated $S^{1}$ -(resp. $R$ -) bundle over a 2-torus to be homologous to zero. Such a 2-cycle is determined by two commuting diffeomorphisms $f$ , $g$ of $S^{1}$ (resp. $R$ ). If $f$ , $g$ have fixed points, we construct decompositions: $f = π f_{i}$ , $g = π g_{i}$ , where the interiors of Supp $(f_{i}) \cup$ Supp $(g_{i})$ are disjoint, and $f_{i}$ and $g_{i}$ belong either to ${h_{i}^{n}; n \in Z}$ ( $h_{i} \in$ Diff $^{\infty}$ ) or to a one-parameter subgroup generated by a $C^{1}$ -vectorfield $ξ_{i}$ . Under some conditions on the norms...

On 2-distributions in 8-dimensional vector bundles over 8-complexes

Martin Čadek, Jiří Vanžura (1996)

Colloquium Mathematicae

It is shown that the $ℤ_{2}$ -index of a 2-distribution in an 8-dimensional spin vector bundle over an 8-complex is independent of the 2-distribution. Necessary and sufficient conditions for the existence of 2-distributions in such vector bundles are given in terms of characteristic classes and a certain secondary cohomology operation. In some cases this operation is computed.

On 3-dimensional Lie algebras of vector fields

Alois Švec (1975)

Czechoslovak Mathematical Journal

On 3-Manifolds with Finite Solvable Fundamental Groups.

C.B. Thomas (1979)

Inventiones mathematicae

On 4-fields and 4-distributions in 8-dimensional vector bundles over 8-complexes

Martin Čadek, Jiří Vanžura (1998)

Colloquium Mathematicae

Let ξ be an oriented 8-dimensional spin vector bundle over an 8-complex. In this paper we give necessary and sufficient conditions for ξ to have 4 linearly independent sections or to be a sum of two 4-dimensional spin vector bundles, in terms of characteristic classes and higher order cohomology operations. On closed connected spin smooth 8-manifolds these operations can be computed.

On 4-manifolds with free fundamental group.

Friedrich Hegenbarth, Alberto Cavicchioli (1994)

Forum mathematicum

On a class of diffeomorphisms defined by integro-differential operators

Dariusz Idczak, A. Skowron, S. Walczak (2014)

Banach Center Publications

We study an integro-differential operator Φ: H̅¹ → L² of Fredholm type and give sufficient conditions for Φ to be a diffeomorphism. An application to functional equations is presented.

On a class of foliations and the evaluation of their characteristic classes.

Daniel Baker (1978)

Commentarii mathematici Helvetici

On a conjecture of Carathéodory: Analyticity versus smoothness.

Gutierrez, Carlos, Mercuri, Francesco, Sánchez-Bringas, Federico (1996)

Experimental Mathematics

On a connection with torsion zero

Bohumil Cenkl (1972)

Commentationes Mathematicae Universitatis Carolinae

On a Linearization Theorem of Sternberg for Germs of Diffeomorphisms.

Patrick Bonckaert, Freddy Dumortier (1984)

Mathematische Zeitschrift

On a secondary invariant of the hyperelliptic mapping class group

Takayuki Morifuji (2009)

Banach Center Publications

We discuss relations among several invariants of 3-manifolds including Meyer's function, the η-invariant, the von Neumann ρ-invariant and the Casson invariant from the viewpoint of the mapping class group of a surface.

On a Theorem of Barden.

Ralph Stöcker (1982)

Mathematische Zeitschrift

On adelic Chern forms and the Bott residue formula

Amnon Yekutieli (1996)

Banach Center Publications

On algebraic sets invariant by one-dimensional foliations on $𝐂 P (3)$

Marcio G. Soares (1993)

Annales de l'institut Fourier

We consider the problem of extending the result of J.-P. Jouanolou on the density of singular holomorphic foliations on $C P (2)$ without algebraic solutions to the case of foliations by curves on $C P (3)$ . We give an example of a foliation on $C P (3)$ with no invariant algebraic set (curve or surface) and prove that a dense set of foliations admits no invariant algebraic set.

Currently displaying 1081 – 1100 of 2024

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