Twisted Morse Complexes

Augustin Banyaga is a Professor of Mathematics and a Distinguished Senior Scholar at Penn State University in the Eberly College of Science and a Fellow of the African Academy of Sciences. He has authored at least 70 peer reviewed papers and 3 books, including Lectures on Morse Homology published by Springer.David Hurtubise is a Professor of Mathematics at Penn State Altoona. He has authored at least 14 peer reviewed papers, 140 Mathematical Reviews, 45 Zentralblatt Reviews, and the book Lectures on Morse Homology published by Springer.Peter Spaeth is a Senior Research Scientist at NASA’s Langley Research Center. He has authored over 20 peer reviewed papers in mathematics, materials science, and nondestructive evaluation. In 2023 he was awarded the NASA Early Career Achievement Medal.

• - 1. Introduction.- 2. The Morse Complex with Local Coefficients.- 3. The Homology Determined by the Isomorphism Class of G.- 4. Singular and CW-Homology with Local Coefficients.- 5. Twisted Morse Cohomology and Lichnerowicz Cohomology.- 6. Applications and Computations.