Deformation theory, homological algebra and mirror symmetry

By K. Fukaya. 2001

138 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3aac613ad96e142a3f6d309ae5983c2080210fd4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. J. Stasheff
2. H. Kajiura
3. Amnon Yekutieli
4. H. Lenzing

In Geometry and Topology

1. J. Stasheff
2. H. Kajiura
3. Amnon Yekutieli
4. Andrei Căldăraru
5. Michel van den Bergh
6. Yukinobu Toda
7. A. Ramadoss
8. Masaki Kashiwara

In Mathematical Physics

1. J. Stasheff
2. H. Kajiura
3. Amnon Yekutieli
4. Andrei Căldăraru
5. Michel van den Bergh
6. Yukinobu Toda
7. A. Ramadoss
8. Masaki Kashiwara

Citations in the corpus

• Deformation quantization in algebraic geometry (2003, background): “on in the DG Lie algebra ΩK[t] ⊗ m ⊗ g, such that for i∈ {0,1} ⊂ K, the specialization homomorphisms ΩK[t] ⊗m⊗g → m⊗g, t→ i, send ω(t) → ωi. DEFORMATION QUANTIZATION IN ALGEBRAIC GEOMETRY 13 See also [Fu] and [Hi1]. We will not need these facts in our paper. For a graded K-module Mthe expression Vi ”
• Homotopy Algebras Inspired by Classical Open-Closed String Field Theory (2004, background): “The following classical fact is known (for instance see [36, 10, 11, 31, 33]; some of these include the case of A∞-algebras, for which a similar fact holds).”