References of "Journal of Homotopy and Related Structures"
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See detailHomotopical algebraic context over differential operators
Di Brino, Gennaro; Pistalo, Damjan UL; Poncin, Norbert UL

in Journal of Homotopy and Related Structures (2019), 14(1), 293-347

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See detailKoszul-Tate resolutions as cofibrant replacements of algebras over differential operators
Di Brino, Gennaro; Pistalo, Damjan UL; Poncin, Norbert UL

in Journal of Homotopy and Related Structures (2018), 13(4), 793-846

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See detailMaurer-Cartan spaces of filtered L-infinity algebras
Yalin, Sinan UL

in Journal of Homotopy and Related Structures (2015)

We study several homotopical and geometric properties of Maurer- Cartan spaces for L-infinity algebras which are not nilpotent, but only filtered in a suitable way. Such algebras play a key role ... [more ▼]

We study several homotopical and geometric properties of Maurer- Cartan spaces for L-infinity algebras which are not nilpotent, but only filtered in a suitable way. Such algebras play a key role especially in the deformation theory of algebraic structures. In particular, we prove that the Maurer-Cartan simplicial set preserves fibrations and quasi-isomorphisms. Then we present an algebraic geometry viewpoint on Maurer-Cartan moduli sets, and we compute the tangent complex of the associated algebraic stack. [less ▲]

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See detailComplexifiable characteristic classes
Rahm, Alexander UL

in Journal of Homotopy and Related Structures (2015), 10(3), 537--548

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See detailReidemeister torsion for flat superconnections
Arias Abad, Camilo; Schatz, Florian UL

in Journal of Homotopy and Related Structures (2014), 9(2), 579-606

We use higher parallel transport -- more precisely, the integration A-infinity-functor constructed in -to define Reidemeister torsion for flat superconnections. We conjecture a version of the Cheeger ... [more ▼]

We use higher parallel transport -- more precisely, the integration A-infinity-functor constructed in -to define Reidemeister torsion for flat superconnections. We conjecture a version of the Cheeger-Müller theorem, namely that the combinatorial Reidemeister torsion coincides with the analytic torsion defined by Mathai and Wu. [less ▲]

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See detailThe subgroup measuring the defect of the abelianization of $ SL_2(\Bbb Z[i])$
Rahm, Alexander UL

in Journal of Homotopy and Related Structures (2014), 9(2), 257--262

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