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Review of localization in geometry

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arxiv 1608.02954 v3 pith:SH6J4GSB submitted 2016-08-09 hep-th math-phmath.MP

Vasily Pestun This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords equivariantformulageometrylocalizationreviewatiyah-bottatiyah-singercharacteristic
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Review of localization in geometry: equivariant cohomology, characteristic classes, Atiyah-Bott formula, Atiyah-Singer equivariant index formula, Mathai-Quillen formalism

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Localization and wall-crossing of giant graviton expansions in AdS$_5$

    hep-th 2025-01 conditional novelty 7.0 of 10

    The 1/2-BPS giant graviton expansions for U(N), SO(2k+1), Sp(k), and SO(2k) N=4 SYM are derived from supersymmetric localization of D3-branes in AdS5, with the analytic continuation explained as wall-crossing in a Lan...

  2. Bulk thimbles dual to trace relations

    hep-th 2024-12 conditional novelty 7.0 of 10

    The maximal giant's unstable-saddle thimble contributes exactly the negative terms in the half-BPS partition function, identifying those terms as bulk duals of trace relations.

  3. Oscillator Calculus on Coadjoint Orbits and Index Theorems

    hep-th 2024-12 conditional novelty 6.0 of 10

    Finite-dimensional N=2 and N=4 supersymmetric oscillator chains are shown to truncate sigma models on SU(n) coadjoint orbits, with Witten indices recovering the Dolbeault and de Rham index theorems.

  4. Membrane instantons and non-perturbative effects in $\mathrm{AdS}_{4}/\mathrm{CFT}_{3}$

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Establishes equivalence of BPS conditions for M2-branes to associativity in G2-structures and computes one-loop partition functions via transversely elliptic complexes for invariant cycles in Sasaki-Einstein manifolds...

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