Lie description of higher obstructions to deforming submanifolds
By Marco Manetti. 2005
55 citations recorded by the source corpus.
To every morphism $\chi\colon L\to M$ of differential graded Lie algebras we associate a functors of artin rings $\Def_\chi$ whose tangent and obstruction spaces are respectively the first and second cohomology group of the cylinder of $\chi$. Such construction applies to Hilbert and Brill-Noether functors and allow to prove with ease that every higher obstruction to deforming a smooth submanifold of a Kaehler manifold is annihilated by the semiregularity map.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/8b012d24181e0a84fe007bdb30e8781c746fc52b
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In Geometry and Topology
- R. Pandharipande
- Davesh Maulik
- Richard P. Thomas
- Yukinobu Toda
- A. Okounkov
- D. Huybrechts
- Aaron Pixton
- D. Oprea
In Mathematical Physics
- R. Pandharipande
- Davesh Maulik
- Richard P. Thomas
- Yukinobu Toda
- A. Okounkov
- D. Huybrechts
- P. Seidel
- Aaron Pixton
Citations in the corpus
- Curves on K3 surfaces and modular forms (2010, result): “M. Manetti, ‘Lie description of higher obstructions to deforming submanifolds’, Ann.”