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Title:
Odd torus actions on moduli spaces of super stable maps of genus zero
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Abstract:
Super stable maps are supergeometric generalizations of stable maps from a Riemann surface in an almost Kähler manifold and appear naturally in the compactification of the moduli space of super J-holomorphic curves. Super J-holomorphic curves are maps from a super Riemann surface to an almost Kähler manifold satisfying a Cauchy-Riemann equation. In this talk we will explain the construction of moduli spaces of super stable maps of genus zero of fixed tree type and show that they carry a torus action that leaves the even directions invariant. The invariant manifolds are then the corresponding moduli spaces of stable maps and the normal bundles are described as holomorphic sections of twisted spinor bundles.Based on joint work with Artan Shesmani and Shing-Tung Yau
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