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Second variational derivative of local variational problems and conservation laws

Marcella Palese, Ekkehart Winterroth, E. Garrone (2011)

Archivum Mathematicum

We consider cohomology defined by a system of local Lagrangian and investigate under which conditions the variational Lie derivative of associated local currents is a system of conserved currents. The answer to such a question involves Jacobi equations for the local system. Furthermore, we recall that it was shown by Krupka et al. that the invariance of a closed Helmholtz form of a dynamical form is equivalent with local variationality of the Lie derivative of the dynamical form; we remark that...

Secondary cohomology and the Steenrod square.

Baues, Hans-Joachim (2002)

Homology, Homotopy and Applications

Shapes of compacta and ANR-systems

Sibe Mardešić, Jack Segal (1971)

Fundamenta Mathematicae

Sheaves of Holomorphic Functions on Infinite Dimensional Vector Spaces.

Seàn Dineen (1973)

Mathematische Annalen

Sheaves on Fixed Point Sets and Equivariant Cohomology.

Hannu Honkasalo (1996)

Mathematica Scandinavica

Signature modulo 16, invariants de Kervaire généralisés et nombres caractéristiques dans la $K$ -théorie réelle

S. Ochanine (1981)

Mémoires de la Société Mathématique de France

Simplicial homology of preconvexity spaces

Robert J. MacG. Dawson (1993)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Singular homology groups of one-dimensional Peano continua

K. Eda (2016)

Fundamenta Mathematicae

Let X be a one-dimensional Peano continuum. Then the singular homology group H₁(X) is isomorphic to a free abelian group of finite rank or the singular homology group of the Hawaiian earring.

Singular homology of abstract algebraic varieties.

Andrei Suslin, Vladimir Voevodsky (1996)

Inventiones mathematicae

Singular homology of n-cell-like continua

Michael McCord (1966)

Fundamenta Mathematicae

Singuläre Definition der Äquivarianten Bredon Homologie.

Theodor Bröcker (1971)

Manuscripta mathematica

SK1 of finite abelian groups. I.

M.R. Stein, R.C. Alperin, R.K. Dennis (1985)

Inventiones mathematicae

Smash product of $E (1)$ -local spectra at an odd prime

Nora Ganter (2007)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Smith theory and quasi-periodicity in Bredon cohomology

Jolanta Słlomińska (1992)

Compositio Mathematica

Some analogs of Zariski's Theorem on nodal line arrangements.

Choudary, A.D.R., Dimca, A., Papadima, Ş. (2005)

Algebraic & Geometric Topology

Some generalizations of a theorem of Dold.

Costinescu, Cristian-Nicolae (1997)

Balkan Journal of Geometry and its Applications (BJGA)

Some infinte families of U-hypersurfaces.

Andrew Baker, Nigel Ray (1982)

Mathematica Scandinavica

Some lagrangian invariants of symplectic manifolds

Michel Nguiffo Boyom (2007)

Banach Center Publications

The KV-homology theory is a new framework which yields interesting properties of lagrangian foliations. This short note is devoted to relationships between the KV-homology and the KV-cohomology of a lagrangian foliation. Let us denote by $_{F}$ (resp. $V^{F}$ ) the KV-algebra (resp. the space of basic functions) of a lagrangian foliation F. We show that there exists a pairing of cohomology and homology to $V^{F}$ . That is to say, there is a bilinear map $H^{q} (_{F}, V^{F}) \times H_{q} (_{F}, V^{F}) \to V^{F}$ , which is invariant under F-preserving symplectic diffeomorphisms....

Some new results on composition of quadratic forms.

Kee Yuen Lam (1985)

Inventiones mathematicae

Some Point Set Properties of Merotopic Spaces and Their Cohomology Groups.

Gerhard Preuß (1983)

Monatshefte für Mathematik

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