![]() ; Pistalo, Damjan ![]() ![]() in Journal of Homotopy and Related Structures (2019), 14(1), 293-347 Detailed reference viewed: 151 (6 UL)![]() ; Pistalo, Damjan ![]() ![]() in Journal of Homotopy and Related Structures (2018), 13(4), 793-846 Detailed reference viewed: 245 (27 UL)![]() Yalin, Sinan ![]() 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 ▲] Detailed reference viewed: 59 (5 UL)![]() Rahm, Alexander ![]() in Journal of Homotopy and Related Structures (2015), 10(3), 537--548 Detailed reference viewed: 95 (7 UL)![]() ; Schatz, Florian ![]() 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 ▲] Detailed reference viewed: 97 (2 UL)![]() Rahm, Alexander ![]() in Journal of Homotopy and Related Structures (2014), 9(2), 257--262 Detailed reference viewed: 45 (3 UL)![]() Rahm, Alexander ![]() in Journal of Homotopy and Related Structures (2013), 16 Detailed reference viewed: 151 (1 UL)![]() Rahm, Alexander ![]() in Journal of Homotopy and Related Structures (2013), 16 Detailed reference viewed: 99 (1 UL) |
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