Spencer-Riemann-Roch Theory: Mirror Symmetry of Hodge Decompositions and Characteristic Classes in Constrained Geometry
Fuente:
arXiv
Saved in:
| Main Author: | Zheng, Dongzhe |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Mirror Duality in a Spencer-Type Complex: Analytic and Riemann-Roch Perspectives
by: Zheng, Dongzhe
Published: (2025)
by: Zheng, Dongzhe
Published: (2025)
Spencer Differential Degeneration Theory and Its Applications in Algebraic Geometry
by: Zheng, Dongzhe
Published: (2025)
by: Zheng, Dongzhe
Published: (2025)
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture
by: Zheng, Dongzhe
Published: (2025)
by: Zheng, Dongzhe
Published: (2025)
Exceptional Symmetry as a Source of Algebraic Cycles: Non-Constructive Methods for the Hodge Conjecture for a Special Class of Calabi-Yau 5-Folds
by: Zheng, Dongzhe
Published: (2025)
by: Zheng, Dongzhe
Published: (2025)
The Dirac-Dolbeault Operator Approach to the Hodge Conjecture
by: Farinelli, Simone
Published: (2021)
by: Farinelli, Simone
Published: (2021)
Constructing Two Metrics for Spencer Cohomology: Hodge Decomposition of Constrained Bundles
by: Zheng, Dongzhe
Published: (2025)
by: Zheng, Dongzhe
Published: (2025)
On Bott-Chern and Aeppli cohomologies of almost complex manifolds and related spaces of harmonic forms
by: Sillari, Lorenzo, et al.
Published: (2023)
by: Sillari, Lorenzo, et al.
Published: (2023)
Geometry of the Donaldson-Friedman Pushout: Twistor degenerations and instanton charge
by: Altavilla, Amedeo, et al.
Published: (2026)
by: Altavilla, Amedeo, et al.
Published: (2026)
Smooth asymptotics for collapsing Calabi-Yau metrics
by: Hein, Hans-Joachim, et al.
Published: (2021)
by: Hein, Hans-Joachim, et al.
Published: (2021)
Hodge Theory for Linearized Boundary-Value Problems on General Geometric Structures
by: Leder, Roee
Published: (2025)
by: Leder, Roee
Published: (2025)
Aeppli-Bott-Chern Massey products on non-Kähler solvmanifolds
by: Cesarino, Nunzia, et al.
Published: (2025)
by: Cesarino, Nunzia, et al.
Published: (2025)
Mirror Symmetry of Spencer-Hodge Decompositions in Constrained Geometric Systems
by: Zheng, Dongzhe
Published: (2025)
by: Zheng, Dongzhe
Published: (2025)
Hodge-de Rham and Lichnérowicz Laplacians on double forms and some vanishing theorems
by: Labbi, Mohammed Larbi
Published: (2024)
by: Labbi, Mohammed Larbi
Published: (2024)
Fano 3-folds and classification of constantly curved holomorphic $2$-spheres of degree $6$ in the complex Grassmannian $G(2,5)$
by: Chi, Quo-Shin, et al.
Published: (2022)
by: Chi, Quo-Shin, et al.
Published: (2022)
Cohomology for linearized Ricci curvature
by: Leder, Roee
Published: (2025)
by: Leder, Roee
Published: (2025)
On flops and canonical metrics
by: Cheltsov, Ivan A., et al.
Published: (2015)
by: Cheltsov, Ivan A., et al.
Published: (2015)
Complete noncompact G2-manifolds with ALC asymptotics
by: Foscolo, Lorenzo, et al.
Published: (2026)
by: Foscolo, Lorenzo, et al.
Published: (2026)
Holography of Higher Codimension Submanifolds: Riemannian and Conformal
by: Blitz, Samuel, et al.
Published: (2024)
by: Blitz, Samuel, et al.
Published: (2024)
Hermitian geometrically formal manifolds
by: Sferruzza, Tommaso, et al.
Published: (2025)
by: Sferruzza, Tommaso, et al.
Published: (2025)
Fibrations by Lagrangian tori for maximal Calabi-Yau degenerations and beyond
by: de Bobadilla, Javier Fernández, et al.
Published: (2023)
by: de Bobadilla, Javier Fernández, et al.
Published: (2023)
Geometry of Neighborhoods of Minimal Rational Curves
by: Hwang, Jun-Muk
Published: (2026)
by: Hwang, Jun-Muk
Published: (2026)
Ricci-flat metrics on Calabi-Yau manifolds
by: Tosatti, Valentino
Published: (2025)
by: Tosatti, Valentino
Published: (2025)
Spectral invariants of Joyce orbifolds
by: Mayther, Laurence H.
Published: (2023)
by: Mayther, Laurence H.
Published: (2023)
Degenerations and Fibrations of K3 Surfaces: Lattice Polarisations and Mirror Symmetry
by: Giovenzana, Luca, et al.
Published: (2024)
by: Giovenzana, Luca, et al.
Published: (2024)
Notes on the uniqueness of Type II Yamabe metrics
by: Hamanaka, Shota, et al.
Published: (2025)
by: Hamanaka, Shota, et al.
Published: (2025)
HKT manifolds: Hodge theory, formality and balanced metrics
by: Gentili, Giovanni, et al.
Published: (2022)
by: Gentili, Giovanni, et al.
Published: (2022)
Hyperkähler bases for six rational bordism theories
by: Buchanan, Jonathan, et al.
Published: (2026)
by: Buchanan, Jonathan, et al.
Published: (2026)
Lower bounds on fibered Yang-Mills functionals: generic nefness and semistability of direct images
by: Finski, Siarhei
Published: (2024)
by: Finski, Siarhei
Published: (2024)
Twisted Calabi functional and twisted Calabi flow
by: He, Jie, et al.
Published: (2025)
by: He, Jie, et al.
Published: (2025)
Conformally Invariant Dirac Equation with Non-Local Nonlinearity
by: Maalaoui, Ali, et al.
Published: (2025)
by: Maalaoui, Ali, et al.
Published: (2025)
Witten genera of complete intersections
by: Wiemeler, Michael
Published: (2024)
by: Wiemeler, Michael
Published: (2024)
On the Rosenberg-Stolz Conjecture for $ X \times \mathbb{R}^{2} $ and Its Application in Complex Geometry
by: Xu, Jie
Published: (2025)
by: Xu, Jie
Published: (2025)
Volume renormalization of higher-codimension singular Yamabe spaces
by: Kushtagi, Sri Rama Chandra, et al.
Published: (2024)
by: Kushtagi, Sri Rama Chandra, et al.
Published: (2024)
Higher dimensional moduli spaces on Kuznetsov components of Fano threefolds
by: Li, Chunyi, et al.
Published: (2024)
by: Li, Chunyi, et al.
Published: (2024)
On the coupled Ding stability and the Yau--Tian--Donaldson correspondence for Fano manifolds
by: Fujita, Kento, et al.
Published: (2024)
by: Fujita, Kento, et al.
Published: (2024)
On the Existence of Weighted-cscK Metrics
by: Han, Jiyuan, et al.
Published: (2024)
by: Han, Jiyuan, et al.
Published: (2024)
Cohomologically Calibrated Affine Connections and Forced Irreducibility
by: Pigazzini, Alexander, et al.
Published: (2025)
by: Pigazzini, Alexander, et al.
Published: (2025)
Deformation of nef adjoint canonical line bundles
by: Li, Mu-Lin, et al.
Published: (2025)
by: Li, Mu-Lin, et al.
Published: (2025)
Some applications of canonical metrics to Landau-Ginzburg models
by: Stoppa, Jacopo
Published: (2024)
by: Stoppa, Jacopo
Published: (2024)
Hodge Laplacian on $1$-forms of homogeneous $3$-spheres
by: Henkel, Jonas, et al.
Published: (2026)
by: Henkel, Jonas, et al.
Published: (2026)
Similar Items
-
Mirror Duality in a Spencer-Type Complex: Analytic and Riemann-Roch Perspectives
by: Zheng, Dongzhe
Published: (2025) -
Spencer Differential Degeneration Theory and Its Applications in Algebraic Geometry
by: Zheng, Dongzhe
Published: (2025) -
The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture
by: Zheng, Dongzhe
Published: (2025) -
Exceptional Symmetry as a Source of Algebraic Cycles: Non-Constructive Methods for the Hodge Conjecture for a Special Class of Calabi-Yau 5-Folds
by: Zheng, Dongzhe
Published: (2025) -
The Dirac-Dolbeault Operator Approach to the Hodge Conjecture
by: Farinelli, Simone
Published: (2021)