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1$, and is compatible with the canonical metric $G$ on $T ⊕T^*$: [equation] This generalizes the concept of an almost complex structure $I$, which is an endomorphism of $T$ that squares to $-1$.","intent_p":0.97,"contests_p":null},{"arxiv_id":"hep-th/9205088","title":"Geometry of Batalin-Vilkovisky quantization","url":"/paper/hep-th/9205088","section":"The AKSZ construction of the A-model","sentence":"We will call any supermanifold (finite or infinite dimensional) a P-manifold if it is equipped with an odd Poisson structure, and a Q-manifold if it is equipped with an odd vector field [equation] that obeys $Q^2=0$ [ref] .","intent_p":0.9,"contests_p":null},{"arxiv_id":"math/0203110","title":"On the structure of graded symplectic supermanifolds and Courant algebroids","url":"/paper/math/0203110","section":"The three dimensional A-type model","sentence":"The correspondence between AKSZ membrane actions and Courant algebroids ([ref]) was pointed out in [ref] , and has subsequently been studied extensively [ref] .","intent_p":0.86,"contests_p":null},{"arxiv_id":"hep-th/0608150","title":"AKSZ-BV Formalism and Courant Algebroid-induced Topological Field Theories","url":"/paper/hep-th/0608150","section":"The three dimensional A-type model","sentence":"The correspondence between AKSZ membrane actions and Courant algebroids ([ref]) was pointed out in [ref] , and has subsequently been studied extensively [ref] .","intent_p":0.86,"contests_p":null},{"arxiv_id":"hep-th/0209042","title":"Topological Field Theories and Geometry of Batalin-Vilkovisky Algebras","url":"/paper/hep-th/0209042","section":"The three dimensional A-type model","sentence":"The correspondence between AKSZ membrane actions and Courant algebroids ([ref]) was pointed out in [ref] , and has subsequently been studied extensively [ref] .","intent_p":0.86,"contests_p":null}]}],"unlabelled_sentences":91},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. 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