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Cobordism invariants of the moduli space of stable pairs.

. J. Lond. Math. Soc., 94 (2): 427-446 (2016)

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Topology of Lagrangian fibrations and Hodge theory of hyper-Kähler manifolds, and . (2018)cite arxiv:1812.10673Comment: 24 pages. Minor revision. Clarified the P=W analogy and added Theorem 0.5 for curve counting on K3 surfaces.Cobordism invariants of the moduli space of stable pairs.. J. Lond. Math. Soc., 94 (2): 427-446 (2016)Rational curves in holomorphic symplectic varieties and Gromov-Witten invariants, , and . (2018)cite arxiv:1805.07001Comment: Minor changes. Replace Proposition 3.2 in v3, whose proof contains a gap, by Lemma 3.2. Main theorems 0.1 and 0.2 remain unchanged. Modifications comparing to v3 are summarized in Footnote 3 (Page 4).P=W for Lagrangian fibrations and degenerations of hyper-Kähler manifolds, , , and . (2019)cite arxiv:1908.07510Comment: 6 pages. Comments are welcome!.Hitchin fibrations, abelian surfaces, and the P=W conjecture, , and . (2019)cite arxiv:1909.11885Comment: 47 pages. Comments are welcome!.On the P=W conjecture for $SL_n$, , and . (2020)cite arxiv:2002.03336Comment: 18 Pages.The $P=W$ conjecture for $GL_n$, and . (2022)cite arxiv:2209.02568Comment: 23 pages. Comments are welcome.