Semistable refined Vafa-Witten invariants
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866908735549472768 |
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| author | Liu, Henry |
| author_facet | Liu, Henry |
| contents | For any smooth complex projective surface $S$, we construct semistable refined Vafa-Witten invariants of $S$ which prove the main conjecture of arXiv:1810.00078. This is done by extending part of Joyce's universal wall-crossing formalism to equivariant K-theory, and to moduli stacks with symmetric obstruction theories, particularly moduli stacks of sheaves on Calabi-Yau threefolds. An important technical tool which we introduce is the symmetrized pullback, along smooth morphisms, of symmetric obstruction theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_03673 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Semistable refined Vafa-Witten invariants Liu, Henry Algebraic Geometry 14N35, 14C35 For any smooth complex projective surface $S$, we construct semistable refined Vafa-Witten invariants of $S$ which prove the main conjecture of arXiv:1810.00078. This is done by extending part of Joyce's universal wall-crossing formalism to equivariant K-theory, and to moduli stacks with symmetric obstruction theories, particularly moduli stacks of sheaves on Calabi-Yau threefolds. An important technical tool which we introduce is the symmetrized pullback, along smooth morphisms, of symmetric obstruction theories. |
| title | Semistable refined Vafa-Witten invariants |
| topic | Algebraic Geometry 14N35, 14C35 |
| url | https://arxiv.org/abs/2309.03673 |