Quantum Topology

Scope & Guideline

Innovating Research in Quantum Structures and Topological Insights

Introduction

Welcome to the Quantum Topology information hub, where our guidelines provide a wealth of knowledge about the journal’s focus and academic contributions. This page includes an extensive look at the aims and scope of Quantum Topology, highlighting trending and emerging areas of study. We also examine declining topics to offer insight into academic interest shifts. Our curated list of highly cited topics and recent publications is part of our effort to guide scholars, using these guidelines to stay ahead in their research endeavors.
LanguageEnglish
ISSN1663-487x
PublisherEUROPEAN MATHEMATICAL SOC-EMS
Support Open AccessYes
CountryGermany
TypeJournal
Convergefrom 2013 to 2024
AbbreviationQUANTUM TOPOL / Quantum Topol.
Frequency4 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressPUBLISHING HOUSE GMBH INST MATHEMATIK TECHNISCHE UNIV BERLIN STRASSE 17, JUNI 136, BERLIN 10623, GERMANY

Aims and Scopes

Quantum Topology focuses on advancing the understanding of topological concepts through quantum theory, leveraging algebraic structures and geometric insights to explore intricate relationships among knots, links, and manifolds.
  1. Knot and Link Homology:
    The journal emphasizes research on homology theories that arise from knot and link invariants, exploring their algebraic structures and geometrical implications.
  2. Topological Quantum Field Theories (TQFTs):
    It publishes studies related to TQFTs, which provide a framework for understanding quantum invariants of manifolds and links, often employing advanced categorical techniques.
  3. Mapping Class Groups and Their Representations:
    Research on mapping class groups, which are pivotal in the study of surfaces and their invariants, is a core area, integrating algebraic and geometric aspects.
  4. Categorification and Algebraic Structures:
    The journal covers developments in categorification, where algebraic concepts are elevated to higher categorical levels, revealing deeper insights into topological properties.
  5. Lagrangian Geometry and Floer Homology:
    There is a consistent focus on Lagrangian submanifolds and their associated Floer homology theories, connecting symplectic geometry with topological invariants.
Recent publications in Quantum Topology highlight emerging themes that reflect the journal's dynamic nature and the evolving interests of the research community.
  1. Advanced TQFT Invariants:
    There is a growing trend in developing advanced TQFT invariants, particularly those derived from new algebraic structures, showcasing the rich interplay between topology and quantum theory.
  2. Lagrangian and Symplectic Geometry:
    Recent works increasingly explore the connections between Lagrangian geometry and knot theory, emphasizing its importance in understanding topological invariants through symplectic methods.
  3. Categorification Techniques:
    Emerging techniques in categorification are gaining traction, with researchers investigating their implications for knot invariants and topological structures, reflecting an innovative shift in methodology.
  4. Link Homology and Ribbon Concordances:
    A rise in interest in link homology theories and their applications to ribbon concordances indicates a deeper exploration of these connections within topology.
  5. Representation Theory of Mapping Class Groups:
    The representation theory of mapping class groups is becoming a focal point, as new representations and their applications to topological problems are being actively researched.

Declining or Waning

While Quantum Topology has seen robust growth in various areas, certain themes have shown a decline in recent publications, reflecting shifting research priorities within the field.
  1. Non-semisimple Invariants:
    There has been a noticeable decrease in publications focused on non-semisimple invariants of 3-manifolds, suggesting a shift towards more refined and structured algebraic approaches.
  2. Chern-Simons Theory:
    Research specifically related to Chern-Simons functional and its applications to knot theory has waned, indicating a possible move towards other frameworks or methodologies.
  3. Classical Knot Theory:
    Papers focusing solely on classical aspects of knot theory without a quantum or categorical approach have become less prevalent, as the community increasingly embraces quantum methods.

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