重集与指数有界相对交映同调
IF 1.4
3区 数学
Q1 MATHEMATICS
引用次数: 0
摘要
我们借助索引有界接触形式，利用相对交映同调来探测重集。这建立了SH-heaviness和heaviness两个概念之间的关系，部分地回答了迪克斯坦-加诺尔-波尔特洛维奇-扎波斯基在交映非球面环境中的猜想。本文章由计算机程序翻译，如有差异，请以英文原文为准。
Heavy sets and index bounded relative symplectic cohomology
We use relative symplectic cohomology to detect heavy sets, with the help of index bounded contact forms. This establishes a relation between two notions SH-heaviness and heaviness, which partly answers a conjecture of Dickstein–Ganor–Polterovich–Zapolsky in the symplectically aspherical setting.
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来源期刊
CiteScore
3.10
自引率
5.60%
发文量
68
审稿时长
>12 weeks
期刊介绍：
The Journal of Fixed Point Theory and Applications (JFPTA) provides a publication forum for an important research in all disciplines in which the use of tools of fixed point theory plays an essential role. Research topics include but are not limited to:
(i) New developments in fixed point theory as well as in related topological methods,
in particular:
Degree and fixed point index for various types of maps,
Algebraic topology methods in the context of the Leray-Schauder theory,
Lefschetz and Nielsen theories,
Borsuk-Ulam type results,
Vietoris fractions and fixed points for set-valued maps.
(ii) Ramifications to global analysis, dynamical systems and symplectic topology,
in particular:
Degree and Conley Index in the study of non-linear phenomena,
Lusternik-Schnirelmann and Morse theoretic methods,
Floer Homology and Hamiltonian Systems,
Elliptic complexes and the Atiyah-Bott fixed point theorem,
Symplectic fixed point theorems and results related to the Arnold Conjecture.
(iii) Significant applications in nonlinear analysis, mathematical economics and computation theory,
in particular:
Bifurcation theory and non-linear PDE-s,
Convex analysis and variational inequalities,
KKM-maps, theory of games and economics,
Fixed point algorithms for computing fixed points.
(iv) Contributions to important problems in geometry, fluid dynamics and mathematical physics,
in particular:
Global Riemannian geometry,
Nonlinear problems in fluid mechanics.
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