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Received: 17 March 2021Revised: 31 May 2022Accepted: 2 August 2022DOI: 10.1112/topo.12263RESEARCH ARTICLEJournal of Topology topological modular forms of and Ages Beaudry1Irina Bobkova2VietCuong Pham3Zhouli
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Understand the basic concepts of modular forms and their relevance in topology.
02
Choose a suitable topological space on which you want to define the topological modular form.
03
Define the necessary functions and transformations on the chosen topological space.
04
Ensure that the defined functions satisfy the required modularity conditions.
05
Verify the compatibility of the defined topological modular form with other mathematical structures.

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Mathematicians working in fields such as algebraic topology, number theory, and mathematical physics.
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Researchers interested in the applications of modular forms in solving certain mathematical problems or understanding complex systems.
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Topological modular forms are mathematical objects that arise in the study of certain classes of geometric objects, such as topological spaces and manifolds.
Researchers, mathematicians, and physicists who work in the field of topology or related areas may be required to study and use topological modular forms.
Topological modular forms are typically filled out by calculating certain types of functions and coefficients based on the given geometric objects or structures.
The purpose of studying and using topological modular forms is to better understand the geometry and topology of various objects and spaces, and to make connections between different areas of mathematics.
Information such as specific functions, coefficients, and calculations related to the geometric objects being studied must be reported on topological modular forms.
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