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- W2912359953 abstract "Getzler-Jones-Petrack introduced $A_infty$ structures on the equivariant complex for manifold $M$ with smooth $mathbb{S}^1$ action, motivated by geometry of loop spaces. Applying Witten's deformation by Morse functions followed by homological perturbation we obtained a new set of $A_infty$ structures. We extend and prove Fukaya's conjecture relating this Witten's deformed equivariant de Rham complexes, to a new Morse theoretical $A_infty$ complexes defined by counting gradient trees with jumping which are closely related to the $mathbb{S}^1$ equivariant symplectic cohomology proposed by Siedel." @default.
- W2912359953 created "2019-02-21" @default.
- W2912359953 creator A5016919447 @default.
- W2912359953 date "2019-01-28" @default.
- W2912359953 modified "2023-09-27" @default.
- W2912359953 title "Fukaya's conjecture on $S^1$-equivariant de Rham complex" @default.
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- W2912359953 hasPublicationYear "2019" @default.
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