Semantic Scholar Open Access 2006 11 sitasi

Natural differential operators and graph complexes

M. Markl

Lihat Sumber DOI

Abstrak

We show how the machine invented by S. Merkulov [S.A. Merkulov, Operads, deformation theory and F-manifolds, in: Frobenius Manifolds, Aspects Math., vol. E36, Vieweg, Wiesbaden, 2004, pp. 213–251; S.A. Merkulov, PROP profile of deformation quantization, Preprint, math.QA/0412257, December 2004; S.A. Merkulov, PROP profile of Poisson geometry, Comm. Math. Phys. 262 (1) (February 2006) 117–135] can be used to study and classify natural operators in differential geometry. We also give an interpretation of graph complexes arising in this context in terms of representation theory. As application, we prove several results on classification of natural operators acting on vector fields and connections.

Topik & Kata Kunci

Mathematics

Penulis (1)

M. Markl

Format Sitasi

APA MLA BibTeX

Markl, M. (2006). Natural differential operators and graph complexes. https://doi.org/10.1016/J.DIFGEO.2008.10.008

Akses Cepat

Lihat di Sumber doi.org/10.1016/J.DIFGEO.2008.10.008

Informasi Jurnal

Tahun Terbit: 2006
Bahasa: en
Total Sitasi: 11×
Sumber Database: Semantic Scholar
DOI: 10.1016/J.DIFGEO.2008.10.008
Akses: Open Access ✓