Generalisation of affine Lie algebras on compact real manifolds by Rutwig Campoamor-Stursberg, Marc de Montigny, Michel Rausch de Traubenberg

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The embedding problem in iteration theory by Zdun Marek Cezary

“…Particular attention will be paid to the relationship between the problem of the embeddability and functional equations.Let X be a real manifold and f:X → X be a homeomorphism. …”
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Examples of mirror partners arising from integrable systems by Hausel, T, Thaddeus, M

“…On the other hand, we show that they satisfy the prescription of Strominger, Yau, and Zaslow (which in the present case goes back to Bershadsky, Johansen, Sadov and Vafa): that a Calabi-Yau and its mirror should fiber over the same real manifold, with special Lagrangian fibers which are tori dual to each other. …”

Mirror symmetry and generalized complex manifolds. Part I. The transform on vector bundles, spinors, and branes by Ben-Bassat, O

“…Let M be an n-dimensional smooth real manifold, V a rank n real vector bundle on M, and ∇ a flat connection on V. …”

Hearing Delzant polytopes from the equivariant spectrum by Dryden, Emily B., Guillemin, Victor W., Sena-Dias, Rosa Isabel

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Gauge theory on Calabi-Yau manifolds by Thomas, R, Richard P. W. Thomas

“…We study complex analogues on Calabi-Yau manifolds of gauge theories on low dimensional real manifolds. In particular we define a holomorphic analogue of the Casson invariant, counting coherent sheaves on a Calabi-Yau 3-fold.…”