Spin cobordism and the gauge group of type I/heterotic string theory by Christian Kneißl

“…The computation utilizes several established tools from algebraic topology, the focus here is on two spectral sequences. …”
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Efficient Hamiltonian encoding algorithms for extracting quantum control mechanism as interfering pathway amplitudes in the Dyson series by Erez Abrams, Michael Kasprzak, Gaurav Bhole, Tak-San Ho, Herschel Rabitz

“…This paper presents two new encoding algorithms that calculate the amplitudes of pathway classes by using techniques from graph theory and algebraic topology to exploit patterns in the set of allowed transitions, greatly reducing the number of matrix elements that need to be modulated. …”
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Topology Unveiled: A New Horizon for Economic and Financial Modeling by Yicheng Wei, Junzo Watada, Zijin Wang

“…Sinceits introduction in the 19th century to address geometric problems, topology as a methodology has undergone a series of evolutions, encompassing branches of geometric topology, point-set topology (analytic topology), algebraic topology, and differential topology, gradually permeating into various interdisciplinary applied fields. …”
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On Copson Ideal Convergent Sequence Spaces by Mohammad Idrisi, Nazneen Khan, Kavita Saini, Mobeen Ahmad, ‌ Yasmeen, Manal Labadi

“…Also, I will define some algebraic, topological properties and inclusion relations in these spaces.…”
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Sur certains invariants des algèbres artiniennes commutatives by Aleksandrov, Alexandre

“…We study properties of algebraic, topological and analytic invariants of commutative artinian algebras and relationships between them. …”
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Gapless topological behaviors in a long-range quantum spin chain by Sheng Yang, Hai-Qing Lin, Xue-Jia Yu

“…We refer to this phase as the algebraic topological phase, which exhibits nontrivial gapless topological behaviors and arises solely from long-range interactions without short-range counterparts. …”
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