Riemann–Roch theorem for smooth manifolds

id: riemann-roch-theorem-for-smooth-manifolds-297-4159742
title: Riemann–Roch theorem for smooth manifolds
text: In mathematics, a Riemann–Roch theorem for smooth manifolds is a version of results such as the Hirzebruch–Riemann–Roch theorem or Grothendieck–Riemann–Roch theorem (GRR) without a hypothesis making the smooth manifolds involved carry a complex structure. Results of this kind were obtained by Michael Atiyah and Friedrich Hirzebruch in 1959, reducing the requirements to something like a spin structure.
brand slug: wiki
category slug: encyclopedia
description: Version without requiring the smooth manifolds involved to carry a complex structure
original url: https://en.wikipedia.org/wiki/Riemann%E2%80%93Roch_theorem_for_smooth_manifolds
date created:
date modified: 2021-03-28T02:48:56Z
main entity: {"identifier":"Q17102744","url":"https://www.wikidata.org/entity/Q17102744"}
image:
fields total: 13
integrity: 14

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