Morse functions with regular level sets consisting of $2$-dimensional spheres, $2$-dimensional tori, or Klein Bottles
Fuente:
arXiv
Saved in:
| Main Author: | Kitazawa, Naoki |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
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)
by: Kitazawa, Naoki
Published: (2025)
Arrangements of small circles for Morse-Bott functions
by: Kitazawa, Naoki
Published: (2024)
by: Kitazawa, Naoki
Published: (2024)
On reconstructing Morse functions with prescribed level sets on $3$-dimensional manifolds and a necessary and sufficient condition for the reconstruction
by: Kitazawa, Naoki
Published: (2024)
by: Kitazawa, Naoki
Published: (2024)
On reconstructing Morse-Bott functions with prescribed preimages on $3$-dimensional manifolds and conditions for the reconstruction
by: Kitazawa, Naoki
Published: (2025)
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)
by: Kitazawa, Naoki
Published: (2024)
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)
by: Kitazawa, Naoki
Published: (2024)
On real algebraic realization of round fold maps of codimension $-1$
by: Kitazawa, Naoki
Published: (2026)
by: Kitazawa, Naoki
Published: (2026)
On Reeb graphs induced from smooth functions on 3-dimensional closed manifolds which may not be orientable
by: Kitazawa, Naoki
Published: (2021)
by: Kitazawa, Naoki
Published: (2021)
Moment-like maps and real algebraic functions with prescribed preimages
by: Kitazawa, Naoki
Published: (2025)
by: Kitazawa, Naoki
Published: (2025)
Reconstruction of real algebraic functions into curves with prescribed Reeb graphs
by: Kitazawa, Naoki
Published: (2025)
by: Kitazawa, Naoki
Published: (2025)
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)
by: Kitazawa, Naoki
Published: (2023)
Construction of real algebraic functions with prescribed preimages
by: Kitazawa, Naoki
Published: (2023)
by: Kitazawa, Naoki
Published: (2023)
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)
by: Kitazawa, Naoki
Published: (2023)
A higher-dimensional version of Fáry's theorem
by: Adiprasito, Karim, et al.
Published: (2024)
by: Adiprasito, Karim, et al.
Published: (2024)
Cubulating the sphere with many facets
by: Avvakumov, Sergey, et al.
Published: (2025)
by: Avvakumov, Sergey, et al.
Published: (2025)
Coloring spheres in 3--manifolds
by: Bering IV, Edgar A., et al.
Published: (2024)
by: Bering IV, Edgar A., et al.
Published: (2024)
On vertex-minimal simplicial maps to the sphere
by: Ryabichev, Andrey
Published: (2025)
by: Ryabichev, Andrey
Published: (2025)
A construction of homotopically non-trivial embedded spheres for hyperplane arrangements
by: Yoshinaga, Masahiko
Published: (2024)
by: Yoshinaga, Masahiko
Published: (2024)
Minimal Generating sets of Reidemeister moves
by: Ito, Noboru, et al.
Published: (2025)
by: Ito, Noboru, et al.
Published: (2025)
Filling a triangulation of the 2-sphere
by: Doyle, Peter, et al.
Published: (2023)
by: Doyle, Peter, et al.
Published: (2023)
Construction of combinatorial manifolds with the prescribed sets of links of vertices
by: Gaifullin, Alexander A.
Published: (2008)
by: Gaifullin, Alexander A.
Published: (2008)
Six-dimensional GKM manifolds with four fixed points
by: Jang, Donghoon, et al.
Published: (2026)
by: Jang, Donghoon, et al.
Published: (2026)
A 2-Person Game Decomposing 2-Manifolds
by: Berman, David R., et al.
Published: (2024)
by: Berman, David R., et al.
Published: (2024)
Normal $4$-pseudomanifolds with a relative 2-skeleton
by: Basak, Biplab, et al.
Published: (2025)
by: Basak, Biplab, et al.
Published: (2025)
The sl(2)-weight system at c = 3/8 for graphs
by: Fomichev, Daniil, et al.
Published: (2024)
by: Fomichev, Daniil, et al.
Published: (2024)
Reeb spaces of smooth functions associated to globally similar graphs of smooth functions
by: Kitazawa, Naoki
Published: (2026)
by: Kitazawa, Naoki
Published: (2026)
Morse matchings and Khovanov homology of 4-strand torus links
by: Kelomäki, Tuomas
Published: (2025)
by: Kelomäki, Tuomas
Published: (2025)
$f$-vectors of balanced simplicial complexes, flag spheres, and geometric Lefschetz decompositions
by: Park, Soohyun
Published: (2024)
by: Park, Soohyun
Published: (2024)
A note on asymptotic behaviors and topological properties of two smooth real-valued functions and several graphs associated to them
by: Kitazawa, Naoki
Published: (2026)
by: Kitazawa, Naoki
Published: (2026)
Bounded cohomology of diffeomorphism groups of higher dimensional spheres
by: Zhou, Zixiang
Published: (2024)
by: Zhou, Zixiang
Published: (2024)
Stability phenomena in Deligne--Mumford compactifications via Morse theory
by: Chen, Changjie
Published: (2025)
by: Chen, Changjie
Published: (2025)
Refined lattice point counting on the moduli space of Klein surfaces
by: Chidambaram, Nitin Kumar, et al.
Published: (2026)
by: Chidambaram, Nitin Kumar, et al.
Published: (2026)
Large genus asymptotics for frequency of non-simple curves
by: Liu, Mingkun, et al.
Published: (2026)
by: Liu, Mingkun, et al.
Published: (2026)
Perron's method and spherical ideal circle patterns with prescribed total geodesic curvatures
by: Li, Lishan, et al.
Published: (2026)
by: Li, Lishan, et al.
Published: (2026)
Discrete Knot Theory via Lattice-Filtered Move Graphs
by: Ozawa, Makoto
Published: (2026)
by: Ozawa, Makoto
Published: (2026)
B-type coefficient polynomial
by: Ito, Noboru, et al.
Published: (2026)
by: Ito, Noboru, et al.
Published: (2026)
On lower bounds for the number of ideal and finite vertices of right-angled hyperbolic polyhedra in dimensions from 5 to 12
by: Egorov, Andrey
Published: (2026)
by: Egorov, Andrey
Published: (2026)
Decomposing Centrally Symmetric Convex Polyhedral Surfaces into Parallelograms
by: Wang, Zili, et al.
Published: (2026)
by: Wang, Zili, et al.
Published: (2026)
Matching Rules as Cocycle Conditions: Discrete Potentials on Penrose and Canonical Projection Tilings
by: Pardo-Guerra, Sebastian, et al.
Published: (2026)
by: Pardo-Guerra, Sebastian, et al.
Published: (2026)
The clock theorem for knotoids and linkoids
by: Gügümcü, Neslihan, et al.
Published: (2025)
by: Gügümcü, Neslihan, et al.
Published: (2025)
Similar Items
-
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) -
Arrangements of small circles for Morse-Bott functions
by: Kitazawa, Naoki
Published: (2024) -
On reconstructing Morse functions with prescribed level sets on $3$-dimensional manifolds and a necessary and sufficient condition for the reconstruction
by: Kitazawa, Naoki
Published: (2024) -
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)