Skip to content
DraconiticResearch
Search Sources API
203,203 studies31 sourcesUpdated 11 min ago
PreprintCC BY-NC-SA 4.0arXiv

χ-Independence for BPS Invariants of Warped Local Curves

  • Ana Pavlaković
Open at sourcePDFDOICite

Abstract

A well-known conjecture of Toda's asserts that the BPS invariants associated to a Calabi--Yau threefold are independent of the chosen Euler characteristic. We answer the question in the affirmative for a certain class of local surfaces, which we call warped local curves. Along the way we show that the moduli stack of sheaves on a warped local curve can be written as the global critical locus of a function. We also show that the moduli stack of sheaves on a curve fibration over 𝔸1 is the global critical locus of a function.

Related

  1. Computing the Iwasawa μ-Invariants for Elliptic Curves over ℤ2-Extensions
    Zichao Lin, Mulun Yin
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  2. On the Iwasawa invariants of admissible quadratic twists of elliptic curves at ordinary Eisenstein primes
    Mulun Yin
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  3. Iwasawa invariants of sharp/flat $2$-adic L-functions for quadratic twists of elliptic curves
    Taiga Adachi
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  4. On isotropic points and contact invariants of curves
    Amanda Dias Falqueto, Juan J. Nuño Ballesteros, Raúl Oset Sinha
    arXivPreprintarXiv licenceFull textGeometry & topologyarXiv
  5. Lift-independence problem in the p-adic Simpson correspondence for curves
    Xiangyu Pan, Jiahong Yu
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv

Cite

BibTeXRIS
BibTeX
@misc{pavlakovic2026χindependence,
  title = {{$χ$-Independence for BPS Invariants of Warped Local Curves}},
  author = {Ana Pavlaković},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.20212},
  eprint = {2610.20212},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.20212},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - χ-Independence for BPS Invariants of Warped Local Curves
AU  - Ana Pavlaković
PY  - 2026
DA  - 2026/10/14
PB  - arXiv
DO  - 10.48550/arxiv.2610.20212
UR  - https://arxiv.org/abs/2610.20212
AB  - A well-known conjecture of Toda's asserts that the BPS invariants associated to a Calabi--Yau threefold are independent of the chosen Euler characteristic. We answer the question in the affirmative for a certain class of local surfaces, which we call warped local curves. Along the way we show that the moduli stack of sheaves on a warped local curve can be written as the global critical locus of a function. We also show that the moduli stack of sheaves on a curve fibration over 𝔸^1 is the global critical locus of a function.
ER  -