Martin Markl's page

This page is under permanent (re)construction.


  • Intrinsic brackets and the L-infinity deformation theory of bialgebras. Journal of Homotopy and Related Structures 5(1)(2010), 177-212

  • Which homotopy algebras come from transfer? Coauthor C. Rogers. PAMS 150(3)(2022), 975-990

  • The L-infinity deformation complex of diagrams of algebras. Co-authors Y. Fregier and D. Yau, New York Journal of Mathematics 15(2009), 353-392

  • Deformation and the coherence. Supplem. ai Rend. Circ. Matem. Palermo Ser. II 37(1994), 121-151

  • Transferring A-infinity (strongly homotopy associative) structures. Supplem. ai Rend. Circ. Matem. Palermo Ser. II 79(2006), 139-151

  • Deformation theory - lecture notes. Co-authors M. Doubek and P. Zima, Archivum Math. (Brno) 43(5)(2007), 333-371

  • Calculus of multilinear differential operators, operator L-infinity algebras and IBL-infinity algebras. Co-author D. Bashkirov, Journal of Geometry and Physics 173(2022), paper number 104431

  • Operadic categories and duoidal Deligne's conjecture. Co-author M. Batanin, Advances in Mathematics 285(2015), 1630-1687

  • Towards one conjecture on collapsing of the Serre spectral sequence. Supplem. ai Rend. Circ. Matem. Palermo, Ser. II, 22(1989), 151-159

  • Operads, operadic categories and the blob complex. Co-author M. Batanin. Applied Categorical Structures 32:6, 2024.


  • Strong minimal model theorem; transfers as discrete bifibrations

  • Deformations of varieties of structure constants (ancient)


  • Deformations of algebras and their diagrams - pdf of transparencies

  • Disconnected rational homotopy theory - pdf of transparencies. Jointly with A. Lazarev.

  • Distributive laws between Three Graces - pdf of transparencies. Jointly with M. Bremner.

  • Operadic categories - pdf of transparencies

  • Higher structures and operads - why? - pdf of transparencies

  • Operads and the blob complex - pdf of transparencies