Calculating the homology and intersection form of a 4-manifold from a trisection diagram


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Date

2018-10-23

Publication Type

Journal Article

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yes

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Abstract

When trying to prove that two topological spaces are distinct, one often associates algebraic invariants such as groups, rings, and matrices to topological spaces. For manifolds, in dimension four, the homology and intersection form are especially useful invariants. Here, we describe how they can be computed using the information contained in a trisection diagram and provide some applications.

Publication status

published

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Volume

115 (43)

Pages / Article No.

10869 - 10874

Publisher

National Academy of Sciences

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Edition / version

Methods

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Subject

4-manifolds; trisections; homology; intersection form

Organisational unit

09561 - Sisto, Alessandro (ehemalig) / Sisto, Alessandro (former) check_circle

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