Signed Real Hurwitz numbers
Abstract
In this paper, we enumerate with signs the holomorphic maps between Real Riemann surfaces. We relate the signs and the numbers obtained to the Real Gromov-Witten theory of the target. For a finite group G with a non-trivial morphism to \ 1 \, we present a signed count of principal G-bundles yielding a Klein Topological Quantum Field Theory.
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