Homotopy L-infinity spaces

Junwu Tu

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arXiv · 1411.5115

Homotopy L-infinity spaces

Junwu Tu

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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.

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Junwu Tu. 2014-11-19. Homotopy L-infinity spaces. https://arxiv.org/abs/1411.5115

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