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1	Equivariant Differential Cohomology Kübel, Andreas 03 November 2015 (has links) (PDF) The construction of characteristic classes via the curvature form of a connection is one motivation for the refinement of integral cohomology by de Rham cocycles -- known as differential cohomology. We will discuss the analog in the case of a group action on the manifold: We will show the compatibility of the equivariant characteristic class in integral Borel cohomology with the equivariant characteristic form in the Cartan model. Motivated by this understanding of characteristic forms, we define equivariant differential cohomology as a refinement of equivariant integral cohomology by Cartan cocycles. Äquivariant Charakteristische Klassen Kohomologie equivariant cohomology characteristic classes ddc:500
2	Equivariant Differential Cohomology Kübel, Andreas 28 October 2015 (has links) The construction of characteristic classes via the curvature form of a connection is one motivation for the refinement of integral cohomology by de Rham cocycles -- known as differential cohomology. We will discuss the analog in the case of a group action on the manifold: We will show the compatibility of the equivariant characteristic class in integral Borel cohomology with the equivariant characteristic form in the Cartan model. Motivated by this understanding of characteristic forms, we define equivariant differential cohomology as a refinement of equivariant integral cohomology by Cartan cocycles. info:eu-repo/classification/ddc/500 ddc:500
3	Higher Lefschetz invariants for foliated manifolds / Höhere Lefschetz-Invarianten für geblätterte Mannigfaltigkeiten Fermi, Alessandro 12 March 2012 (has links) No description available. 510 Mathematik EFDC 120 EEHA 530 EFHR 300 EFHR 320 EFIH 050 EFIH 050 Mathematics and Computer Science Blätterungen Lie Groupoide sekundäre charakteristische Klassen höhere Lefschetz-Invarianten. Foliations Lie groupoids secondary characteristic classes higher Lefschetz-type invariants. 31.55 31.52 31.46
4	Characteristic classes of vector bundles with extra structure / Charakteristische Klassen von Vektorbündeln mit Zusatzstruktur Rahm, Alexander 27 February 2007 (has links) No description available. EBFA 630 Quadratic and bilinear forms inner products EFHN 650 Algebraic topology of manifolds Mathematics and Natural Science beinahe komplexe Mannigfaltigkeit almost complex manifold 31.61 Algebraische Topologie 31.52 Differentialgeometrie

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