Pith. sign in

REVIEW 4 cited by

3d Modularity

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1809.10148 v2 pith:256LQ7RH submitted 2018-09-26 hep-th math.GTmath.NTmath.QAmath.RT

Miranda C. N. Cheng , Sungbong Chun , Francesca Ferrari , Sergei Gukov , Sarah M. Harrison This is my paper · ORCID
classification hep-thmath.GTmath.NTmath.QAmath.RT
keywords modularformsstructuresalgebrascategoriescftschiralexplanation
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We find and propose an explanation for a large variety of modularity-related symmetries in problems of 3-manifold topology and physics of 3d $\mathcal{N}=2$ theories where such structures a priori are not manifest. These modular structures include: mock modular forms, $SL(2,\mathbb{Z})$ Weil representations, quantum modular forms, non-semisimple modular tensor categories, and chiral algebras of logarithmic CFTs.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 4 Pith papers

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

  1. 3d-3d correspondence for knot complements with finite and large $N$

    hep-th 2026-07 conditional novelty 6.0 of 10

    The SU(N) homological block in inverted-Habiro form equals a half-index of an explicit 3d N=2 theory for the figure-eight and the two trefoil knots, with a conjectural all-knot extension.

  2. 3d-3d correspondence and abelian flat connection

    hep-th 2026-03 conditional novelty 6.0 of 10

    The homological block of a knot complement is realized as a half-index of a 3d N=2 theory via a contour enclosing z=q^k poles, and the same integral at z=q^-k poles gives the colored Jones polynomial.

  3. $q$-Series Invariants of Three-Manifolds and Knots-Quivers Correspondence

    math-ph 2024-12 conditional novelty 4.0 of 10

    Z-hat three-manifold invariants are shown to depend only on the Lie algebra, and a quiver matrix block structure is conjectured for double twist knots.

  4. Quantum invariants of 3-manifolds and links: a review

    math-ph 2025-09 unverdicted novelty 1.0 of 10

    This is a survey, not a new result: it reviews the q-series invariants Zhat, F_K, F_L and their supergroup analogues, collecting known conjectures, theorems, and examples.

Pith tools