Geometry and Topology

Top Research Topics at Geometry & Topology?

The journal was organized to reinforce research efforts on Pure mathematics, Combinatorics, Mathematical analysis, Homology (mathematics) and Conjecture. Manifold, Moduli space, Symplectic geometry, Homotopy and Invariant (mathematics) are among the areas of Pure mathematics tackled. Geometry & Topology concentrates on Symplectic geometry topics that focus on Symplectic manifold and Symplectomorphism.

Combinatorics research featured in it incorporates concerns from various other topics such as Mapping class group and Group (mathematics). Floer homology is a focus of the presented Homology (mathematics) works and it dives deep in Floer homology.

• Pure mathematics (62.97%)
• Combinatorics (23.91%)
• Mathematical analysis (11.75%)

What are the most cited papers published in the journal?

• Holomorphic disks and genus bounds (469 citations)
• Khovanov's homology for tangles and cobordisms (447 citations)
• Knot Floer homology and the four-ball genus (439 citations)

Research areas of the most cited articles at Geometry & Topology:

Pure mathematics, Combinatorics, Homology (mathematics), Floer homology and Mathematical analysis are the main subjects of interest in the journal papers. The journal publications connects research in Pure mathematics with the related topics of Algebra. The most cited papers focus on Combinatorics but the discussions also offer insight into other areas such as Discrete mathematics, Mapping class group and Group (mathematics).

What topics the last edition of the journal is best known for?

• Pure mathematics
• Algebra
• Geometry

The previous edition focused in particular on these issues:

The journal mainly tackles studies in Pure mathematics, Manifold, Combinatorics, Cohomology and Boundary (topology). Geometry & Topology explores research in Pure mathematics and the adjacent study of Scalar curvature. Geometry & Topology holds forums on Manifold that merges themes from other disciplines such as Metric (mathematics), Riemannian manifold, Fundamental group, Geodesic and Ricci curvature.

It deals with Combinatorics in conjunction with Hilbert space and similar fields in Expander graph and Quadratic equation. It facilitates discussions on Cohomology that incorporate concepts from other fields like Block (permutation group theory), Injective function, Congruence (manifolds), Bundle and Diffeomorphism. While it focused on Boundary (topology), it was also able to explore topics like N dimensional, Topology (chemistry), Domain (mathematical analysis) and Pseudoholomorphic curve.

The most cited articles from the last journal are:

• Reflection positivity and invertible topological phases (16 citations)
• On the topology and the boundary of N–dimensional RCD(K,N) spaces (14 citations)
• HF=HM IV: The Seiberg-Witten Floer homology and ech correspondence (7 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

Top authors and change over time

The top authors publishing in Geometry & Topology (based on the number of publications) are:

• Clifford Henry Taubes (17 papers) published 2 papers at the last edition, 1 less than at the previous edition,
• Juan Souto (9 papers) absent at the last edition,
• Daryl Cooper (8 papers) absent at the last edition,
• Peter Ozsvath (8 papers) absent at the last edition,
• Stavros Garoufalidis (8 papers) absent at the last edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Top affiliations and change over time

Only papers with recognized affiliations are considered

The top affiliations publishing in Geometry & Topology (based on the number of publications) are:

• Massachusetts Institute of Technology (47 papers) published 4 papers at the last edition the same number as at the previous edition,
• University of California, Berkeley (46 papers) published 1 paper at the last edition, 3 less than at the previous edition,
• Stanford University (41 papers) absent at the last edition,
• Columbia University (37 papers) published 3 papers at the last edition, 1 more than at the previous edition,
• Harvard University (36 papers) published 3 papers at the last edition, 3 less than at the previous edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 2.04% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 31.25% were posted by at least one author from the top 10 institutions publishing in the journal. Another 12.50% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 16.67% of all publications and 39.58% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

• Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
• Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
• Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
• Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
• Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.