Cover Image

On reconstructing Morse functions with prescribed level sets on $3$-dimensional manifolds and a necessary and sufficient condition for the reconstruction

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Kitazawa, Naoki
Format:	Preprint
Published:	2024
Subjects:	Geometric Topology
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On reconstructing Morse-Bott functions with prescribed preimages on $3$-dimensional manifolds and conditions for the reconstruction
by: Kitazawa, Naoki
Published: (2025)

On a classification of Morse functions on $3$-dimensional manifolds represented as connected sums of manifolds of Heegaard genus one
by: Kitazawa, Naoki
Published: (2024)

Morse functions with regular level sets consisting of $2$-dimensional spheres, $2$-dimensional tori, or Klein Bottles
by: Kitazawa, Naoki
Published: (2026)

Characterizing $3$-dimensional manifolds represented as connected sums of Lens spaces, $S^2 \times S^1$, and torus bundles over the circle by certain Morse-Bott functions
by: Kitazawa, Naoki
Published: (2024)

Smooth functions which are Morse on preimages of values not being local extrema and constructing natural functions of the class on connected sums of manifolds admitting these functions
by: Kitazawa, Naoki
Published: (2025)

On Reeb graphs induced from smooth functions on 3-dimensional closed manifolds which may not be orientable
by: Kitazawa, Naoki
Published: (2021)

Construction of real algebraic functions with prescribed preimages
by: Kitazawa, Naoki
Published: (2023)

Arrangements of small circles for Morse-Bott functions
by: Kitazawa, Naoki
Published: (2024)

Reconstructing real algebraic maps locally like moment-maps with prescribed images and compositions with the canonical projections to the $1$-dimensional real affine space
by: Kitazawa, Naoki
Published: (2023)

Moment-like maps and real algebraic functions with prescribed preimages
by: Kitazawa, Naoki
Published: (2025)

Reconstruction of real algebraic functions into curves with prescribed Reeb graphs
by: Kitazawa, Naoki
Published: (2025)

Families of Morse functions for manifolds with boundary
by: Borodzik, Maciej, et al.
Published: (2025)

Some remark on real algebraic maps which are topologically special generic maps and generalize the canonical projections of the unit spheres
by: Kitazawa, Naoki
Published: (2023)

On real algebraic realization of round fold maps of codimension $-1$
by: Kitazawa, Naoki
Published: (2026)

Construction of combinatorial manifolds with the prescribed sets of links of vertices
by: Gaifullin, Alexander A.
Published: (2008)

Morse boundaries of 3-manifold groups
by: Zbinden, Stefanie
Published: (2022)

Hyperbolic 4-manifolds with perfect circle-valued Morse functions
by: Battista, Ludovico, et al.
Published: (2020)

Existence and deformability of topological Morse functions
by: Irmer, Ingrid
Published: (2025)

Topological invariants of 3-dimensional manifold with boundary by using crossed module
by: Shu, Tommy
Published: (2024)

A chain-level model for Chas-Sullivan products in Morse homology with differential graded coefficients
by: Riegel, Robin
Published: (2024)

Rudyak's conjecture for lower dimensional 1-connected manifolds
by: Dranishnikov, Alexander, et al.
Published: (2025)

Exotic non-orientable four-manifolds with prescribed fundamental group
by: Torres, Rafael
Published: (2025)

The Morse-Smale Property of the Thurston Spine
by: Irmer, Ingrid
Published: (2024)

Residual finiteness of some automorphism groups of high dimensional manifolds
by: Mezher, Fadi
Published: (2024)

Invariant sets for homeomorphisms of hyperbolic 3-manifolds
by: Gomes, Elena, et al.
Published: (2025)

Morse inequalities for noncompact manifolds
by: Kato, Tsuyoshi, et al.
Published: (2024)

A survey on embeddings of 3-manifolds in definite 4-manifolds
by: Aceto, Paolo, et al.
Published: (2024)

Complex vs convex Morse functions and geodesic open books
by: Dehornoy, Pierre, et al.
Published: (2021)

Period realization of meromorphic differentials with prescribed invariants
by: Chen, Dawei, et al.
Published: (2022)

Approaching the prescribed Gaussian curvature by discrete conformality
by: Liu, Ziran, et al.
Published: (2023)

Uniform Perfectness, Geodesic Richness, and Rigidity for Sublinearly Morse Boundaries
by: Baik, Hyungryul
Published: (2026)

Merging boundary critical points of a Morse function
by: Borodzik, Maciej, et al.
Published: (2023)

Morse homology with DG coefficients
by: Barraud, Jean-François, et al.
Published: (2023)

A non-loxodromic Morse element in a Morse local-to-global group
by: Abbott, Carolyn, et al.
Published: (2025)

Hyperbolization and geometric decomposition of a class of 3-manifolds
by: Feng, Ke, et al.
Published: (2025)

Birman-Hilden theory for 3-manifolds
by: Lucas, Trent
Published: (2024)

Filling links and spines in 3-manifolds
by: Freedman, Michael, et al.
Published: (2020)

Surgery equivalence relations for 3-manifolds
by: Massuyeau, Gwenael
Published: (2023)

Angle structures on pseudo 3-manifolds
by: Ge, Huabin, et al.
Published: (2025)

Volume and structure of hyperbolic 3-manifolds
by: Soma, Teruhiko
Published: (2019)