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Naok Kitazawa

Osaka Central Advanced Mathematical Institute0000-0002-8738-5470
math.GNmath.GTmath.ATmath.AGmath.COmath.MGmath.DGmath.KTmath.DSmath.GM

On Valency

published · living versions
W_hdgtpxbw·v1 · currentpublished
Torus fibrations on 33-dimensional manifolds which are smooth functions with finitely many critical values and stable fold maps
1 version

Preprints & journals

95 papers in the corpus · 2013–2026
On Reeb spaces of non-proper smooth functions which are 11-dimensional CW complexes2609.00053v3 · Naoki Kitazawa2026 · 0 citationsarXiv
Reeb spaces of 1st derivatives of proper submersions of certain classes2608.24270v1 · Naoki Kitazawa2026 · 0 citationsarXiv
Height functions on products of spheres and associated Reeb digraphs and level sets2608.00556v2 · Naoki Kitazawa2026 · 0 citationsarXiv
Regions represented as foliated forms and natural smooth maps onto them2607.17180v2 · Naoki Kitazawa2026 · 0 citationsarXiv
Compactifying real analytic functions and resulting Reeb spaces2607.04565v1 · Naoki Kitazawa2026 · 0 citationsarXiv
Representations of Reeb spaces via simplified graphs and examples2605.12219v3 · Naoki Kitazawa2026 · 0 citationsarXiv
Morse functions with regular level sets consisting of 22-dimensional spheres, 22-dimensional tori, or Klein Bottles2604.04910v1 · Naoki Kitazawa2026 · 0 citationsarXiv
A note on asymptotic behaviors and topological properties of two smooth real-valued functions and several graphs associated to them2603.21452v1 · Naoki Kitazawa2026 · 0 citationsarXiv
Reeb spaces of smooth functions associated to globally similar graphs of smooth functions2603.02791v3 · Naoki Kitazawa2026 · 0 citationsarXiv
Fundamental examples of Reeb spaces of smooth functions defined from two graphs of smooth functions with same asymptotic behaviors2602.17014v4 · Naoki Kitazawa2026 · 0 citationsarXiv
On real algebraic realization of round fold maps of codimension −1-12602.12211v1 · Naoki Kitazawa2026 · 0 citationsarXiv
Regions surrounded by parabolas in the plane and trees representing their shapes respecting their natural projection to the line2602.05276v1 · Naoki Kitazawa2026 · 0 citationsarXiv
Reeb spaces of functions being analytic on dense subsets and their graph structures2602.23380v1 · Naoki Kitazawa2026 · 0 citationsarXiv
A note on Reeb spaces of some explicit real analytic functions2601.11648v2 · Naoki Kitazawa2026 · 0 citationsarXiv
Regions surrounded by cylinders of real algebraic manifolds and natural decompositions2601.06454v1 · Naoki Kitazawa2026 · 0 citationsarXiv
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 functions2510.00464v3 · Naoki Kitazawa2025 · 0 citationsarXiv
Planar graphs embedded in generic ways and realizing them as Reeb graphs of real algebraic functions2508.09498v2 · Naoki Kitazawa2025 · 0 citationsarXiv
Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions2508.00729v2 · Naoki Kitazawa2025 · 0 citationsarXiv
Reconstruction of real algebraic functions into curves with prescribed Reeb graphs2507.09467v2 · Naoki Kitazawa2025 · 0 citationsarXiv
Moment-like maps and real algebraic functions with prescribed preimages2506.17791v1 · Naoki Kitazawa2025 · 0 citationsarXiv
Refined algebraic domains with finite sets in the boundaries respecting differential geometry2504.04234v1 · Naoki Kitazawa2025 · 0 citationsarXiv
Refined algebraic domains with finite sets in the boundaries2503.09195v1 · Naoki Kitazawa2025 · 0 citationsarXiv
Arrangements of circles, the regions surrounded by them and labeled Poincaré-Reeb graphs2502.15195v2 · Naoki Kitazawa2025 · 0 citationsarXiv
Realizations of planar graphs as Poincar'e-Reeb graphs of refined algebraic domains2501.17425v3 · Naoki Kitazawa2025 · 0 citationsarXiv
Arrangements of circles supported by small chords and compatible with natural real algebraic functions2501.11819v2 · Naoki Kitazawa2025 · 0 citationsarXiv
On reconstructing Morse-Bott functions with prescribed preimages on 33-dimensional manifolds and conditions for the reconstruction2501.05992v2 · Naoki Kitazawa2025 · 0 citationsarXiv
On reconstructing Morse functions with prescribed level sets on 33-dimensional manifolds and a necessary and sufficient condition for the reconstruction2412.20626v3 · Naoki Kitazawa2024 · 0 citationsarXiv
Characterizing 33-dimensional manifolds represented as connected sums of Lens spaces, S2×S1S^2 \times S^1, and torus bundles over the circle by certain Morse-Bott functions2412.11397v2 · Naoki Kitazawa2024 · 0 citationsarXiv
Arrangements of small circles for Morse-Bott functions2412.03846v3 · Naoki Kitazawa2024 · 0 citationsarXiv
On a classification of Morse functions on 33-dimensional manifolds represented as connected sums of manifolds of Heegaard genus one2411.15943v2 · Naoki Kitazawa2024 · 0 citationsarXiv
Some remark on real algebraic maps which are topologically special generic maps and generalize the canonical projections of the unit spheres2312.10646v6 · Naoki Kitazawa2023 · 0 citationsarXiv
Notes on Reeb graphs of real algebraic functions which may not be planar2307.07122v3 · Naoki Kitazawa2023 · 0 citationsarXiv
On real algebraic maps whose images are domains surrounded by the products of hyperbolas and real affine spaces2304.07540v2 · Naoki Kitazawa2023 · 0 citationsarXiv
Explicit smooth real algebraic functions which may have both compact and non-compact preimages on smooth real algebraic manifolds2304.02372v2 · Naoki Kitazawa2023 · 0 citationsarXiv
Explicit real algebraic functions which may have both compact and non-compact preimages2303.14988v3 · Naoki Kitazawa2023 · 0 citationsarXiv
Reconstructing real algebraic maps locally like moment-maps with prescribed images and compositions with the canonical projections to the 11-dimensional real affine space2303.10723v8 · Naoki Kitazawa2023 · 0 citationsarXiv
Construction of real algebraic functions with prescribed preimages2303.00953v3 · Naoki Kitazawa2023 · 0 citationsarXiv
Restrictions on manifolds admitting certain explicit special-generic-like maps and construction of maps with the manifolds2302.10079v2 · Naoki Kitazawa2023 · 0 citationsarXiv
Real algebraic functions on closed manifolds whose Reeb spaces are given graphs2302.02339v3 · Naoki Kitazawa2023 · 0 citationsarXiv
Smooth maps like special generic maps2301.12126v3 · Naoki Kitazawa2023 · 0 citationsarXiv
Round fold maps on 33-dimensional manifolds and their integral and rational cohomology rings2301.07008v1 · Naoki Kitazawa2023 · 1 citationarXiv
A class of naturally generalized special generic maps2212.03174v3 · Naoki Kitazawa2022 · 0 citationsarXiv
Decompositions of manifolds into submanifolds compatible with specific fold maps2211.13451v1 · Naoki Kitazawa2022 · 0 citationsarXiv
Manifolds admitting special generic maps and their nice generalized multisections2210.10303v4 · Naoki Kitazawa2022 · 0 citationsarXiv
New families of manifolds with similar cohomology rings admitting special generic maps2210.05914v3 · Naoki Kitazawa2022 · 0 citationsarXiv
Special generic maps into R5{\mathbb{R}}^5 on closed and simply-connected manifolds and information on the cohomology of the manifolds2207.13303v2 · Naoki Kitazawa2022 · 0 citationsarXiv
Round fold maps into the plane on some 77-dimensional closed and simply-connected manifolds2207.09676v1 · Naoki Kitazawa2022 · 0 citationsarXiv
On the non-existence of special generic maps on complex projective spaces2206.11500v1 · Naoki Kitazawa2022 · 0 citationsarXiv
Characterizing certain classes of 66-dimensional closed and simply-connected manifolds via special generic maps2205.04048v5 · Naoki Kitazawa2022 · 0 citationsarXiv
Proofs of the non-existence of special generic maps on the 33-dimensional complex projective space2202.00883v4 · Naoki Kitazawa2022 · 0 citationsarXiv
Career total: 135 works. 95 are in this corpus.Showing the 50 most recent.

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