1 citations · 1 across the 6 of their papers we have counts for
6 papers
Real Heegaard Floer homology with integral coefficients
Ciprian Mircea Bonciocat
We treat the question of upgrading Guth-Manolescu's real Heegaard Floer theory to a -graded invariant defined over , specifically for the hat version with o…
Floer homotopy theory for monotone Lagrangians
Ciprian Mircea Bonciocat
We circumvent one of the roadblocks in associating Floer homotopy types to monotone Lagrangians, namely the curvature phenomena occurring in high dimensions. Given and $R…
Parameterized Lagrangian Floer homotopy
Kenneth Blakey, Ciprian Mircea Bonciocat
We construct the Lagrangian Floer homotopy type, in the exact setting, as a spectrum parameterized over the moduli space of Maslov data. Our primary motivation for this constructio…
Revisiting the Cohen-Jones-Segal construction in Morse-Bott theory
Ciprian Mircea Bonciocat
In 1995, Cohen, Jones and Segal proposed a method of upgrading any given Floer homology to a stable homotopy-valued invariant. For a generic pseudo-gradient Morse-Bott flow on a cl…
Zero-free angular sectors and lens-shaped regions for polynomials, with applications to irreducibility
Ciprian Mircea Bonciocat, Nicolae Ciprian Bonciocat
For a real polynomial we present explicit zero-free angular sectors in the complex plane, symmetric with respect to the real axis, with angles depending only on the degree of $…
The order of the product of two elements in finite nilpotent groups
C. M. Bonciocat
An old problem in group theory is that of describing how the order of an element behaves under multiplication. To generalize some classical bounds concerning the order $\mathrm o(a…