Trends in Differential Geometry and Algebraic Topology
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Geometry and Topology".
Deadline for manuscript submissions: 30 April 2025 | Viewed by 520
Special Issue Editor
Interests: differential geometry and algebraic topology; geometric structures on higher bundles; generalized cohomology theories and their equivariant, differential, and twisted refinements
Special Issue Information
Dear Colleague,
We are pleased to invite you to contribute to a Special Issue of Axioms titled "Trends in Differential Geometry and Algebraic Topology." This issue aims to showcase cutting-edge research and novel perspectives at the intersection of these two fundamental areas of mathematics.
As a recognized expert in the field, your contribution would be invaluable in shaping the discourse on recent developments and future directions. We welcome original research articles, comprehensive reviews, and insightful perspectives that explore the following:
- Advances in differential geometric structures and their applications, including Riemannian and symplectic geometry;
- Higher category theory, homotopy theory, homology theory, algebraic K-theory;
- Interplay between differential geometry and algebraic topology;
- Index theory, noncommutative geometry;
- Emerging computational methods in geometric and topological analysis;
- Applications of differential geometry and algebraic topology in physics, data science, or other disciplines.
We are excited about the possibility of featuring your work in this Special Issue and contributing to the advancement of these vital mathematical fields.
We look forward to the prospect of your valuable contribution.
Dr. Byungdo Park
Guest Editor
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
Keywords
- differential geometry
- algebraic topology
- Riemannian geometry
- symplectic geometry
- symplectic topology
- homotopy algebra
- homotopy theory
- homology theory
- category theory
- algebraic K-theory
- topological K-theory
- index theory
- noncommutative geometry
- string theory
- quantum field theory
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