6533b859fe1ef96bd12b8088

RESEARCH PRODUCT

Calculating the Homology of the Image

Juan J. Nuño-ballesterosDavid Mond

subject

Multiple pointAlgebraMathematics::K-Theory and HomologySymmetric groupComputer scienceSpectral sequenceImage computingHomology (mathematics)Mathematics::Geometric TopologyMathematics::Symplectic GeometryMathematics::Algebraic Topology

description

We introduce the alternating homology of a space with a symmetric group action, and give a new construction of the image computing spectral sequence (ICSS), which computes the homology of the image of a finite map from the alternating homology of its multiple point spaces. We illustrate and motivate the ICSS with simple examples.

yearjournalcountryeditionlanguage
2020-01-01
https://doi.org/10.1007/978-3-030-34440-5_10