Geodesic
Permutation-Equivariant Quantum K-Theory X. Quantum Hirzebruch–Riemann–Roch in Genus 0
Symmetry, integrability and geometry: methods and applications, Tome 16 (2020) Cet article a éte moissonné depuis la source Math-Net.Ru

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We extract genus 0 consequences of the all genera quantum HRR formula proved in Part IX. This includes re-proving and generalizing the adelic characterization of genus 0 quantum K-theory found in [Givental A., Tonita V., in Symplectic, Poisson, and Noncommutative Geometry, Math. Sci. Res. Inst. Publ., Vol. 62, Cambridge University Press, New York, 2014, 43–91]. Extending some results of Part VIII, we derive the invariance of a certain variety (the “big J-function”), constructed from the genus 0 descendant potential of permutation-equivariant quantum K-theory, under the action of certain finite difference operators in Novikov's variables, apply this to reconstructing the whole variety from one point on it, and give an explicit description of it in the case of the point target space.
Keywords: Gromov–Witten invariants, K-theory, adelic characterization. 
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     author = {Alexander Givental},
     title = {Permutation-Equivariant {Quantum} {K-Theory~X.} {Quantum} {Hirzebruch{\textendash}Riemann{\textendash}Roch} in {Genus~0}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2020},
     volume = {16},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a30/}
}
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Alexander Givental. Permutation-Equivariant Quantum K-Theory X. Quantum Hirzebruch–Riemann–Roch in Genus 0. Symmetry, integrability and geometry: methods and applications, Tome 16 (2020). http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a30/

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