Homotopy L-infinity spaces
arXiv:1411.5115
Abstract
In this paper, we introduce a new class of structured spaces which is locally modeled by Costello's L-infinity spaces. This provides an alternative approach to study the derived geometric structures in the algebraic, analytic, or smooth category. Our main result asserts that on a compact complex manifold, the moduli space of simple holomorphic structures on a complex vector bundle with a fixed determinant bundle, admits a natural analytic homotopy L-infinity enhancement.
Comments welcome!
References in corpus (9)
- Higher Topos Theory
- Lie theory for nilpotent L-infinity algebras
- A 'Darboux Theorem' for shifted symplectic structures on derived Artin stacks, with applications
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- Derived Smooth Manifolds
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Cited by in corpus (8)
- Moduli stacks of semistable sheaves and representations of Ext-quivers
- Birational geometry for d-critical loci and wall-crossing in Calabi-Yau 3-folds
- Purity and 2-Calabi-Yau categories
- The inverse function theorem for curved L-infinity spaces
- Remarks on mirror symmetry of Donaldson-Thomas theory for Calabi-Yau 4-folds
- Homotopy L-infinity spaces and Kuranishi manifolds, I: categorical structures
- Casson invariants via virtual counting
- Parametrized L-infinity Spaces