## Contents of Volume 375, Number 12

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- KPZ formulas for the Liouville quantum gravity metric
- Ewain Gwynne and Joshua Pfeffer PDF
- Trans. Amer. Math. Soc.
**375**(2022), 8297-8324

- Tensor decomposition, parafermions, level-rank duality, and reciprocity law for vertex operator algebras
- Cuipo Jiang and Zongzhu Lin PDF
- Trans. Amer. Math. Soc.
**375**(2022), 8325-8352

- Nonsymmetric Macdonald polynomials via integrable vertex models
- Alexei Borodin and Michael Wheeler PDF
- Trans. Amer. Math. Soc.
**375**(2022), 8353-8397

- Symplectic structures with non-isomorphic primitive cohomology on open 4-manifolds
- Matthew Gibson, Li-Sheng Tseng and Stefano Vidussi PDF
- Trans. Amer. Math. Soc.
**375**(2022), 8399-8422

- Total curvature of planar graphs with nonnegative combinatorial curvature
- Bobo Hua and Yanhui Su PDF
- Trans. Amer. Math. Soc.
**375**(2022), 8423-8444

- Some topological results of Ricci limit spaces
- Jiayin Pan and Jikang Wang PDF
- Trans. Amer. Math. Soc.
**375**(2022), 8445-8464

- Proper mappings between indefinite hyperbolic spaces and type I classical domains
- Xiaojun Huang, Jin Lu, Xiaomin Tang and Ming Xiao PDF
- Trans. Amer. Math. Soc.
**375**(2022), 8465-8481

- Invariance of the Gibbs measures for periodic generalized Korteweg-de Vries equations
- Andreia Chapouto and Nobu Kishimoto PDF
- Trans. Amer. Math. Soc.
**375**(2022), 8483-8528

- Enumeration of algebraic and tropical singular hypersurfaces
- Uriel Sinichkin PDF
- Trans. Amer. Math. Soc.
**375**(2022), 8529-8580

- The étale Brauer-Manin obstruction to strong approximation on homogeneous spaces
- Julian L. Demeio PDF
- Trans. Amer. Math. Soc.
**375**(2022), 8581-8634

- On some topological realizations of groups and homomorphisms
- Pedro J. Chocano, Manuel A. Morón and Francisco R. Ruiz del Portal PDF
- Trans. Amer. Math. Soc.
**375**(2022), 8635-8649

- On the ‘definability of definable’ problem of Alfred Tarski, Part II
- Vladimir Kanovei and Vassily Lyubetsky PDF
- Trans. Amer. Math. Soc.
**375**(2022), 8651-8686

- Patterson–Sullivan theory for Anosov subgroups
- Subhadip Dey and Michael Kapovich PDF
- Trans. Amer. Math. Soc.
**375**(2022), 8687-8737

- Explicit Serre weights for two-dimensional Galois representations over a ramified base
- Misja F.A. Steinmetz PDF
- Trans. Amer. Math. Soc.
**375**(2022), 8739-8767

- Scaling limit of DLA on a long line segment
- Yingxin Mu, Eviatar B. Procaccia and Yuan Zhang PDF
- Trans. Amer. Math. Soc.
**375**(2022), 8769-8806

- A mixed invariant of nonorientable surfaces in equivariant Khovanov homology
- Robert Lipshitz and Sucharit Sarkar PDF
- Trans. Amer. Math. Soc.
**375**(2022), 8807-8849

- Alexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in a ball
- Liangjun Weng and Chao Xia PDF
- Trans. Amer. Math. Soc.
**375**(2022), 8851-8883

- On finitely summable Fredholm modules from Smale spaces
- Dimitris Michail Gerontogiannis PDF
- Trans. Amer. Math. Soc.
**375**(2022), 8885-8944

- Wreath Macdonald polynomials at $q=t$ as characters of rational Cherednik algebras
- Dario Mathiä and Ulrich Thiel PDF
- Trans. Amer. Math. Soc.
**375**(2022), 8945-8968

- A categorical $\mathfrak {sl}_2$ action on some moduli spaces of sheaves
- Nicolas Addington and Ryan Takahashi PDF
- Trans. Amer. Math. Soc.
**375**(2022), 8969-9005

- Between reduced powers and ultrapowers, II.
- Ilijas Farah and Saharon Shelah PDF
- Trans. Amer. Math. Soc.
**375**(2022), 9007-9034