Real analogues of Plücker formulas Read more about Real analogues of Plücker formulas Plücker formulas for complex plane algebraic curves, relate the genus, number of double points, cu
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Complex Lagrangian subvarieties of the Higgs bundle moduli space Read more about Complex Lagrangian subvarieties of the Higgs bundle moduli space Given a complex reductive group G, the moduli space M(G) of G-Higgs bundles on a curve has a natural
Contact topology of Gorenstein toric isolated singularities Read more about Contact topology of Gorenstein toric isolated singularities Links of Gorenstein toric isolated singularities are good toric contact manifolds with zero first
Equivariant Verlinde algebra for Higgs bundles Read more about Equivariant Verlinde algebra for Higgs bundles Motivated by the work of Gukov and Du Pei we discuss a construction of a Frobenius algebra, which co
Some remarks on the Mumford-Welters connection Read more about Some remarks on the Mumford-Welters connection Mumford introduced in the 1960ies an algebraic approach to the construction of (almost) canonical ba
L-infinity algebras, central extentions, and M-theory Read more about L-infinity algebras, central extentions, and M-theory In this introduction for geometers and topologists, we explain the role that central extensions of L
Donaldson-Uhlenbeck compactification for the moduli space of framed sheaves on a Deligne-Mumford stack Read more about Donaldson-Uhlenbeck compactification for the moduli space of framed sheaves on a Deligne-Mumford stack Framed sheaves over surfaces first appeared as a generalisation of framed SU(r) instantons on S4. La
Topological complexity of the Klein bottle Read more about Topological complexity of the Klein bottle The notion of topological complexity of a space has been introduced by M. Farber in order to give a