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Award ID contains: 2105467

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  1. ; ; (, Mathematical research letters)
    Free, publicly-accessible full text available February 10, 2026
  2. ; (, Communications in Number Theory and Physics)
    Accepted Manuscript Full Text Available
  3. ; ; (, arXiv)
    Accepted Manuscript Full Text Available
  4. ; ; (, Journal für die reine und angewandte Mathematik (Crelles Journal))
    Abstract In this paper, an invariant is introduced for negative definite plumbed 3-manifolds equipped with a spin c {{}^{c}} -structure. It unifies and extends two theories with rather different origins and structures. One theory is lattice cohomology, motivated by the study of normal surface singularities, known to be isomorphic to the Heegaard Floer homology for certain classes of plumbed 3-manifolds. Another specialization gives BPS q -series which satisfy some remarkable modularity properties and recover SU ⁢ ( 2 ) {{\rm SU}(2)} quantum invariants of 3-manifolds at roots of unity.In particular, our work gives rise to a 2-variable refinement of the Z ^ {\widehat{Z}} -invariant. 
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  5. ; (, Asian Journal of Mathematics)
    Full Text Available 
  6. ; (, Indiana University Mathematics Journal)
    Full Text Available 
  7. ; ; (, Advances in Mathematics)
    Full Text Available 
  8. (, Algebraic & Geometric Topology)
    Full Text Available