Geodesic
Riemann–Roch for stacky matrix factorizations
Forum of Mathematics, Sigma, Tome 10 (2022)

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We establish a Hirzebruch–Riemann–Roch-type theorem and a Grothendieck–Riemann–Roch-type theorem for matrix factorizations on quotient Deligne–Mumford stacks. For this, we first construct a Hochschild–Kostant–Rosenberg-type isomorphism explicit enough to yield a categorical Chern character formula. Then, we find an expression of the canonical pairing of Shklyarov under the isomorphism. 
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     author = {Dongwook Choa and Bumsig Kim and Bhamidi Sreedhar},
     title = {Riemann{\textendash}Roch for stacky matrix factorizations},
     journal = {Forum of Mathematics, Sigma},
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     year = {2022},
     doi = {10.1017/fms.2022.99},
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Dongwook Choa; Bumsig Kim; Bhamidi Sreedhar. Riemann–Roch for stacky matrix factorizations. Forum of Mathematics, Sigma, Tome 10 (2022). doi: 10.1017/fms.2022.99

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