Publication: Simultaneous deformations and poisson geometry
Simultaneous deformations and poisson geometry
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Frégier, Y., & Zambon, M. (2015). Simultaneous deformations and poisson geometry. Compositio Mathematica, 151(9), 1763–1790. https://doi.org/10.1112/s0010437x15007277
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We consider the problem of deforming simultaneously a<jats:italic>pair</jats:italic>of given structures. We show that such deformations are governed by an<jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:href="S0010437X15007277_inline1" xlink:type="simple" /><jats:tex-math>$L_{\infty }$</jats:tex-math></jats:alternatives></jats:inline-formula>-algebra, which we construct explicitly. Our machinery is based on Voronov’s derived bracket construction. In this p
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Frégier, Y., & Zambon, M. (2015). Simultaneous deformations and poisson geometry. Compositio Mathematica, 151(9), 1763–1790. https://doi.org/10.1112/s0010437x15007277